Large counts condition ap stats - AP Stats Unit 4A Probability. 21 terms. mayadonnelly9. Preview. ... 10% condition. When taking a random sample (without replacement) of size n from a population of size N, we can use a binomial distribution if n≤0.10N. large counts condition. use a normal distribution to model a binomial distribution if np≥10 AND n(1-p)≥10.

 
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AP Stats Unit 6 Quiz 1. Flashcards; Learn; Test; Match; Flashcards; Learn; Test; ... random sample 10% condition large counts condition (LCC) ... what is the 4 step process? 1. choose: procedure, confidence level, define the parameter 2. check: conditions 3. calculate: general formula, specific formula, formula with values plugged in, ... In general, the Large Enough Sample Condition applies if any of these conditions are true: You have a symmetric distribution or unimodal distribution without outliers: a sample size of 15 is “large enough.”. You have a moderately skewed distribution, that’s unimodal without outliers; If your sample size is between 16 and 40, it’s ... Reference set for 2020 AP Statistics Exam Learn with flashcards, games, and more — for free.2. 10% condition (spread): check the 10% condition for both samples (for experiments, it's not necessary), also the two groups must be independent of each other 3. large counts condition (shape): the sampling distribution will be nearly normal as long as the Large Counts Condition is met for both sampleslesson to continue to emphasize why we need these conditions. Use some ideas from this blog post to see other ways to present the 10% and large counts condition. Always ask the students what selecting "a" object means. Once the students realize that n = 1, they can use the sample procedures they have been doing when we give them a sample size. Study with Quizlet and memorize flashcards containing terms like state, plan, do conclude, one-sample z or t interval for p or meu, random, large counts condition, central limit theorem, 10% condition, random samples of, generalize population and more. The Large Counts Condition is satisfied when both np and n (1-p) are greater than or equal to 10, where n is the sample size and p is the probability of success. In other words, if the number of successes and failures in the sample is large enough, then we can assume that the distribution of the count of successes follows a normal distribution.AP Stats 8.2. Random: The data come from a well-designed random sample or randomized experiment. • Large Counts: Both are at least 10. Start studying AP Stats 8.2. Learn vocabulary, terms, and more with flashcards, games, and other study tools.State appropriate hypotheses and compute the expected counts and chi-square test statistic for a chi-square test based on data in a two-way table. State and check the Random, 10%, and Large Counts conditions for a chi-square test based on data in a two-way table.AP Statistics Post-test Review. 43 terms. lvalderrama23. Preview. AP Biology - Statistics: Chi-Squred. 10 terms. BenDiddyDong. Preview. Stats Exam 1 Study Guide. 28 terms. breeju01. ... Check that the Large Counts Condition is met. Yes. Both np = 1000(0.75) = 750 and n(1 - p) = 1000(0.25) ...In this Activity, we will investigate the claim that AP Stats students are not getting enough sleep. As with Lesson 9.2, students have all of the pieces they need in order to do this significance test. They simply need to put all of the pieces together. Remind students that we use a t-distribution to calculate the P-value here because we are ...Study with Quizlet and memorize flashcards containing terms like population proportion: 10 % condition, population proportion: large counts condition, population proportion: standard deviation and more.AP Stats- Ch 10. Get a hint. Samp distribution of p1-p2. Click the card to flip 👆. shape: approx normal if large counts is met. center: mp1-p2 = p1-p2. spread: σp1-p2=√p̂1 (1-p̂)/n1 + p̂2 (1-p̂2)/n2. Conditions: 10% random large counts.The normal range for a white blood cell count is between 4,500 and 10,000 per microliter of blood, according to MedlinePlus. A high white blood cell count may be due to infection, ...Assuming probability model is true (conditions met) How to check Large Counts condition when performing a test of H p p 0 1 2:0 modified; students should use the pooled (combined) proportion of successes ˆ p C Randomization distribution of difference in proportions/means in experiments modeled by sampling distribution if conditions metAP Stat Exam reminders (Sampling Distributions and Confidence Intervals) 10 terms. eboswell6. Preview. ... Large Counts Condition. np>=10 and n(1-p)>=10, if true ...The observed counts are to be stored in L1. The expected counts are to be stored in L2. Let L3 = (L1-L2)2/L2. 2. The is the sum of L3 (which can be found by using 1-Var Stats) *The TI-84 has a built-in test called. 2GOF-Test. Find it in the STAT-TEST menu. 11.2 - The.Study with Quizlet and memorize flashcards containing terms like Large Counts Condition, 10% condition, Normal/Large Sample condition and more.Step 3: Correct mechanics, including the value of the test statistic and p-value (or rejection region). t ≈ 3.12. 8 The p-value, based on a t-distribution with 8 − 1 = 7 degrees of freedom, is 0.008. Step 4: States a correct conclusion in the context of the study, using the result of the statistical test.Chapter 10 & 11; AP Stats. Term. 1 / 58. Random, 10%, Large Counts. Click the card to flip 👆. Definition. 1 / 58. What are the three conditions for finding a Confidence Interval for p1-p2? Click the card to flip 👆.Ap Stats Chap 9. 20 terms. daeunjoo. Preview. Stats ch 1. 12 terms. KieC02. Preview. ... as long as the 10% condition is satisfied: n is greater or equal to 1/10N ... Normal approximation (large counts) when the sample size n is large, the sampling distribution of ^p is close to a Normal distribution. When both are greater or equal to 10 ...Conditions for Performing Inference About. mean1 - mean2. Random: The data come from two independent random samples or from two groups in a randomized experiment. 10%: When sampling without replacement, check that n1 ≤ (1/10)N1 and n2 ≤ (1/10)N2. Normal/Large Sample: Both population distributions (or the true distributions of responses to ...10% condition. check that 1/10 of N1 is greater than or equal to n1. check that 1/10 of N2 is greater than or equal to n2. normal/large counts condition. make sure that n1 and n2 are both greater than or equal to 30. if the sample size is less than 30, graph both sets of data and check for skewedness and outliers. confidence interval equation.Random Condition: so we can generalize to the population. 10% Condition: so sampling without replacement is OK. Large Counts: so the sampling distribution of the sample proportions will be approximately Normal and we can use z* to do calculations. Don't reveal calculator commands yet. 1. overall test - chi squared. 2. follow up analysis - decide which parameters differ and by how much. expected count. row total x column total / table total. average number of ... if null is true and the random process is repeated many times. conditions for chi squared homogeneity test/indep. 1. random. Dec 30, 2017 ... AP Statistics - 9.2A - Tests about a Population Proportion. 132 views · 6 years ago ...more. Try YouTube Kids. An app made just for kids.Conditions. Just like we had with other inference procedures, our test hinges on certain conditions being met. With chi square testing, we need the following two conditions: . Our sample was taken randomly or treatments were assigned randomly in an experiment. Large Counts: All expected counts are at least 5.Step 2: Identifies a correct test (by name or formula) and checks appropriate conditions. 2 − ) χ = expected The stem of the problem stated that conditions for inference are met. Step 3: Correct mechanics, including the value of the test statistic, df, and p-value (or rejection region).The 10% condition states that sample sizes should be no more than 10% of the population. Whenever samples are involved in statistics, check the condition to ensure you have sound results. Some statisticians argue that a 5% condition is better than 10% if you want to use a standard normal model. For example, the 10% condition normally applies ...A multiple choice question which gives a two-way table and asks for a test statistic and P-value only (students should use their calculator for this.) On the free response, you should have two questions. One question asking students to do a chi-square goodness of fit test, and one question asking students to do chi-square test with a two-way ...Bored Apes Yacht Club maker Yuga Labs announced Friday that they have acquired the rights to the CryptoPunks and Meebits NFT collections from creator Larva Labs. Bored Apes and Cry...Study with Quizlet and memorize flashcards containing terms like Large Counts Condition, Explain the mean of the sampling distribution of p-hat, 10% Condition and more. ... Chapter 7 AP Stats. Flashcards. Learn. Test. Match. Large Counts Condition. Click the card to flip 👆 ...Empirical Rule. : The empirical rule, also known as the 68-95-99.7 rule, is a statistical guideline that states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and roughly 99.7% falls within three standard deviations. Mode.AP Stats - Ch3 Vocab Quiz. 10 terms. Kevinsandoval811. Preview. Inferring Cause and Effect. 11 terms. ralvarezurzua. Preview. COMM 1700. 5 Min Midterm . 17 terms. Isabel_Duffy. ... Large Counts Condition. Used in Confidence Interval of Population Proportion, in the DO step. np̂ ≥ 10, n(1-p̂) ≥ 10.AP Stats Unit 7 Review. Flashcards; Learn; Test; Match; Q-Chat; Flashcards; Learn; Test; Match; ... 10% condition doesn't need to be checked in an experiment ... We need to make sure that the population is large enough so that sampling without replacement won't affect our data. Normal. Proportions: large counts condition Mean: Central Limit Theory.AP Stats Chapter 7. Flashcards. Learn. Test. Match. Flashcards. Learn. Test. Match. Created by. MandyW2015 Plus. Terms in this set (14) Statistic. a numerical measurement describing some characteristic of a sample. Parameter. a number that describes a population. Center=Parameter. statistic is unbiased estimator.Conditions for Inference about a Population Mean. Random Sample - The data are a random sample from the population of interest. 10% Rule - The sample size is no more than 10% of the population size: ≤. 10. Large Counts/Normality - If the sample size is large ( ≥ 30), then we can assume normality for any shape of distribution.Study with Quizlet and memorize flashcards containing terms like Large Counts Condition, What does the Large Counts Condition guarantee?, 10% Condition and more.🎥 Watch: AP Stats - Inference: Hypothesis Tests for Proportions. Key Terms to Review (9) 1-Prop Z-Test ... The large counts condition, also known as the "success-failure" condition, is used when applying certain statistical methods to categorical data. It states that for these methods to be valid, both the number of successes and failures ...2. 10% condition (spread): check the 10% condition for both samples (for experiments, it's not necessary), also the two groups must be independent of each other 3. large counts condition (shape): the sampling distribution will be nearly normal as long as the Large Counts Condition is met for both samplesStudy with Quizlet and memorize flashcards containing terms like Large Counts Condition, 10% condition, How large much the sample size be for the shape of the sampling distribution of x̄? and more. ... Ap Stats chapter 7. Flashcards; Learn; Test; Match; Q-Chat; Get a hint. Large Counts Condition.AP stats chapter 4 vocab. 34 terms. melainaroach1. Preview. MA-Chapter 3. 15 terms. Tamana526. Preview. stat exam 2 . 28 terms. connorblasy0818. Preview. Terms in this set (16) ... The large counts condition says that the probability distribution of X is approximately Normal if n(p) > 10 AND n(1 - p) > 10, that is the expected number ...1. The sizes, in square feet, of the 20 rooms in a student residence hall at a certain university are summarized in the following histogram. Based on the histogram, write a few sentences describing the distribution of room size in the residence hall. Summary statistics for the sizes are given in the following table. Mean.The response does not satisfy component 3 because, although the response correctly names the test, the z-statistic formula provided is not correct. Section 1 was scored partially correct (P). Question 4 (continued) In section 2 the response satisfies components 1 and 2 by correctly checking the conditions.In this Activity, we will investigate the claim that AP Stats students are not getting enough sleep. As with Lesson 9.2, students have all of the pieces they need in order to do this significance test. They simply need to put all of the pieces together. Remind students that we use a t-distribution to calculate the P-value here because we are ...Answer Key: Lesson 6.3 introduces the idea of a sample count. You'll need coins, a poster, stickers and table A for this activity. We begin with a quick review of binomial random variables which were covered in lesson 5.4. It's so beneficial to students to connect prior learning with new learning. We do this not only for review but also to ...Study with Quizlet and memorize flashcards containing terms like mutually exclusive, mutually exclusive addition rule, general addition rule if A and B are two events resulting from some chance process (68% A, 28% B, 25% both) and more.This idea becomes the critical value for a confidence interval. In Chapter 4, students learned that the purpose of a random sample is so that we can generalize to the larger population. In this chapter, this idea becomes the Random condition for inference. In Chapter 6, students learned to check the 10% condition in the binomial setting to be ...AP Stat Unit 5 Progress Check: MCQ Part C. 12 terms. BreeStr8. Preview. Stats CH10, 11 & 12. 7 terms. Yvesbulthuis. ... 10% Condition must be met. ... Limit Theorem (CLT) In SRS of every size n from any population with mean and finite standard deviation, when n is large, the sampling distribution of the sample mean is approximately Normal.The mean of the sampling distribution is always equal to the population proportion (p), and the standard deviation is calculated as sqrt (p (1 − p) / n), where n is the sample size. These measures are useful for understanding the distribution's center and spread, respectively, regardless of its shape. The conditions we need for inference on one proportion are: Random: The data needs to come from a random sample or randomized experiment. Normal: The sampling distribution of p ^. ‍. needs to be approximately normal — needs at least 10. ‍. expected successes and 10. ‍. expected failures. Chapter 10 & 11; AP Stats. Term. 1 / 58. Random, 10%, Large Counts. Click the card to flip 👆. Definition. 1 / 58. What are the three conditions for finding a Confidence Interval for p1-p2? Click the card to flip 👆.A particular one is specified by giving degrees of freedom. The chi-square goodness-of-fit test uses these with degrees of freedom: the number of categories - 1. Random. A condition for performing a Chi-Square Test for Goodness of Fit. Data come from a random sample of population of interest.AP Stats Midterm Review. 34 terms. Javeria_Aziz1. Preview. Designing Experiments- Stats. 29 terms. caseydahl35. Preview. Terms in this set (12) ... Large Count Condition. np greater than or equal to 10 and n(1-p) is greater than or equal to 10 is distribution is approximately normal. 10% Rule.Study with Quizlet and memorize flashcards containing terms like point estimator, point estimate, confidence interval and more.conditions for constructing a confidence interval about a difference in proportions. random. 10%. large counts. confidence interval: random. the data comes from two independent samples or from two groups in a randomized experiment. confidence interval: 10%. when sampling without replacement, check that: n1 < or = to (1/10)N.Some of the example problems related to the Law of Large number is stated below. The average intelligence of students in a school.If more and more students are being tested, then we know that the number of trials increases then by the law of large number, they are closer and closer to the actual mean.Thus, they can generalize the result of the study given a large number of trials.AP stats vocab: 74 terms. atourville32. Preview. Stats terms. 28 terms. audreylplouffe. Preview. Statistics and Hypothesis Testing. 20 terms. ... where n = sample size and p = population proportion If the Large Counts Condition is not met, - if p is closer to 0, sampling distribution will be skewed RIGHT - if p is closer to 1, sampling ...Random 2. 10% Condition 3. Large Counts (use p-hat) ... Students also viewed. AP Statistics 9.2. 11 terms. ANNIKA_RICE6. Preview. Unit 6 Progress Check: MCQ Part A (AP STATS) 12 terms. kate4994. Preview. Final Statistics Study Guides . 137 terms. Gaypom. Preview. Stats Chapter 1 . 26 terms. egarlesky. Preview. AP Statistics Chapter 9: Testing a ...The z-test is a statistical test for comparing the proportions from two populations. It can be used when the samples are independent, n1ˆp1 ≥ 10, n1ˆq1 ≥ 10, n2ˆp2 ≥ 10, and n2ˆq2 ≥ 10. The formula for the z-test statistic is: z = (ˆp1 − ˆp2) − (p1 − p2) √(ˆp ⋅ ˆq( 1 n1 + 1 n2)) AP Stat Exam reminders (Sampling Distributions and Confidence Intervals) 10 terms. eboswell6. Preview. ... Large Counts Condition. np>=10 and n(1-p)>=10, if true ... Customers are classified as using 1 card, 2 cards, or more than 2 cards. The company conducts a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of number of cards used from last year to this year. The value of the chi-square test statistic was χ2=7.82 with a corresponding p-value of 0.02. Conditions for Performing Inference About. mean1 - mean2. Random: The data come from two independent random samples or from two groups in a randomized experiment. 10%: When sampling without replacement, check that n1 ≤ (1/10)N1 and n2 ≤ (1/10)N2. Normal/Large Sample: Both population distributions (or the true distributions of responses to ... How to Grade Your AP Statistics Tests. AP Free Response Questions that you can use on the Chapter 9 Test. Questions to be Sure to Include. ... Why do we check the (random, 10%, Large Counts) condition? A simulation based estimate of the P-value (seriously 2009B #5 is the best question ever ...Utilizing technology and extensive support for student success. The Practice of Statistics is the most trusted program for AP® Statistics because it provides teachers and students with everything they need to be successful in the statistics course and on the AP® Exam. With the expert authorship of high school AP® Statistics veterans, Daren Starnes and Josh Tabor and their supporting team of ...AP STATISTICS. STUDY. Flashcards. Learn. Write. Spell. Test. PLAY. Match. Gravity. Created by. SelmaM12. Key Concepts: ... Before you perform Normal calculations, check that the Large Counts condition is satisfied: np>10 and n(1-p)>10. (7.2) We need to verify two conditions before proceeding: The Large Counts Condition and 10% Condition.Study with Quizlet and memorize flashcards containing terms like what is x bar? what kind of variable is it for?, what is p hat? how do you calculate it? what kind of variable is it for?, what's the central limit theorem? and more.Start studying AP Statistics: Chapter 11 Section 1 (Chi-Square Test for Goodness of Fit). ... Checking Large Counts Condition. be sure to examine the expected counts, not the observed counts!! ... $6.99. STUDY GUIDE. STATS 250 EXAM I 55 terms. sara_ting. The Practice of Statistics 5e - Ch 11 Vocab 10 terms. shinnm. UMBC STAT 121 Final exam 74 ...Study with Quizlet and memorize flashcards containing terms like Large Counts Condition, What does the Large Counts Condition guarantee?, 10% Condition and more. ... AP Stats Chapter 7. Flashcards. Learn. Test. Match. Flashcards. Learn. Test. Match. Created by. Gracelynne_M. Terms in this set (5) Large Counts Condition.Study with Quizlet and memorize flashcards containing terms like interpreting confidence LEVEL, Interpreting confidence INTERVAL, what confidence level for NOT say: (3 things) and more.Study with Quizlet and memorize flashcards containing terms like Large Counts Condition, 10% condition, standard critical value for 90% confidence and more. ... AP STATS CH 8 CONT. Flashcards; Learn; Test; Match; Q-Chat; Flashcards; Learn; Test; Match; ... Statistics with R. 24 terms. Hajar_Toubali. Preview. Regularization Methods and Cross ...Unit 6 Progress Check: MCQ Part A (AP STATS) 12 terms. kate4994. Preview. AP Statistics Chapter 8 Formulas. Teacher 13 terms. Colleen_Rossetti. Preview. Stats 1430 Final Exam. 53 terms. Peyton58122. Preview. Statistics. ... Large Counts Condition. using normal approximation when np>=10 and n(1-p)>=10.AP Stats Unit 2: Exploring Two Variable Data - 3.1 Scatterplots and Correlation. 9 terms. blarshy_ Preview. ... 10 percent condition. ... Large counts condition. Use a normal distribution to model a binomial distribution if np >= 10 & n(1-p) >= 10.suppose that a count X of successes has the binomial distribution with n trials and success probability p. when n is large, the distribution of X is approximately normal with mean and SD. as a rule of thumb, we will use the normal approximation when n is so large that np≥10 and n(1-p)≥10. that is, the expected number of successes and ...Here's a quick review of proportions: pˆ is the sample proportion and equals number of "successes" sample size. X n. , where Xis the random variable. The mean of a sample proportion is pˆ p, where pis the probability of "success" The probability of a "failure" is q 1 p The standard deviation of a sample proportion is pˆ. pq n. The ...1. overall test - chi squared. 2. follow up analysis - decide which parameters differ and by how much. expected count. row total x column total / table total. average number of ... if null is true and the random process is repeated many times. conditions for chi squared homogeneity test/indep. 1. random.Statistics; AP Stats Unit 7-9. Flashcards. Learn. Test. Match. Flashcards. Learn. Test. Match. Created by. william_phytal. Terms in this set (49) parameter. a number that describes some characteristic of the population. statistic. a number that describes some characteristic of a sample.AP stats unit 6. 33 terms. GregoryCalMiller. Preview. Stats Test 1 . 41 terms. Evil_Sam_4_Life. Preview. 8.2: Types of Hypothesis Tests. Teacher 9 terms. henrietta101. ... Large Counts condition. Satisfied by making sure np is greater than or equal to 10 and n(1-p) is greater than or equal to 10. mean of sampling distribution. About us.Help students recognize two ideas: The greater the sample size, the closer the Normal approximation is to the binomial distribution. The closer that p is to 0.5, the more symmetric the binomial distribution, and therefore closer to Normal. These two ideas are combined to form the Large counts condition np > 10 and n (1 – p) > 10.

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large counts condition ap stats

Study with Quizlet and memorize flashcards containing terms like how do you know that you can use standard deviation for both sample proportions or sample means?, when is the sampling distribution approximately normal for sample proportions?, when is the sampling distribution approximately normal for sample means? and more.Study with Quizlet and memorize flashcards containing terms like one sample z interval, two sample z interval, one sample t interval and more.conditions for constructing a confidence interval about a difference in proportions. random. 10%. large counts. confidence interval: random. the data comes from two independent samples or from two groups in a randomized experiment. confidence interval: 10%. when sampling without replacement, check that: n1 < or = to (1/10)N.The Large Sample Condition: The sample size is at least 30. Note: In some textbooks, a "large enough" sample size is defined as at least 40 but the number 30 is more commonly used. When this condition is met, it can be assumed that the sampling distribution of the sample mean is approximately normal. This assumption allows us to use samples ...Counted Data Condition: The data are counts for a categorical variable. This prevents students from trying to apply chi-square models to percentages or, worse, quantitative data. Large Sample Assumption: The sample is large enough to use a chi-square model.3rd Edition • ISBN: 9780321782700 David E. Bock, Paul Velleman, Richard D. De Veaux. 1 / 4. Study with Quizlet and memorize flashcards containing terms like Confidence Interval formula for one-sample t-interval for μ, Test statistic formula for one-sample t-test for μ, Confidence Interval formula for one-sample z-interval for p and more.AP Stats Unit 5 Quiz. Flashcards; Learn; Test; Match; Q-Chat; Flashcards; Learn; ... Random condition. ... (1/10)N, allows for use of the standard deviation formula (since sampling without replacement, we need a large enough population to approximate independence) Large Counts Condition. np>=10 and n(1-p)>=10, if true, then the shape … This idea becomes the critical value for a confidence interval. In Chapter 4, students learned that the purpose of a random sample is so that we can generalize to the larger population. In this chapter, this idea becomes the Random condition for inference. In Chapter 6, students learned to check the 10% condition in the binomial setting to be ... what happens to the capture rate when the 10% condition is violated? the confidence interval will not be accurate. why is it necessary to check the large counts condition? to ensure that the sampling distribution of the sample proportion is approximately normal. what is the large counts condition formula? np >_ 10 and n (1-p) …For any Proportion Inference, you must check Large Counts to confirm normality. You can only check Central Limit Theorem for Quantitative Data (Means).. For a categorical variable, when randomly sampling with replacement from two independent populations with population proportions p1 and p2, the sampling distribution of the difference in sample proportions, p1 - p2, has mean µ = p1 - p2 and ...lesson to continue to emphasize why we need these conditions. Use some ideas from this blog post to see other ways to present the 10% and large counts condition. Always ask the students what selecting "a" object means. Once the students realize that n = 1, they can use the sample procedures they have been doing when we give them a sample size.Study with Quizlet and memorize flashcards containing terms like SD of Sample Dist. for Sample Mean, When is the Sample Dist. aprox. normal for Sample Mean?, SD of Sample Dist. for Sample Proportion and more.AP STATS EXAM REVIEW. A randomized experiment was performed to determine whether two fertilizers, A and B, give different yields of tomatoes. A total of 33 tomato plants were grown; 16 using fertilizer A, and 17 using fertilizer B. The distributions of the data did not show marked skewness and there were no outliers in either data set.Study with Quizlet and memorize flashcards containing terms like true sampling distribution, parameter, statistic and more.AP Statistics Chapter 7. 22 terms. hfrihauf. Preview. Stat Chapter 8 Vocab. 16 terms. tavb402. Preview. PSY3204C-23 Exam 3 Chapter 10-13. 58 terms. TaylorPeters1124. Preview. ... Large Counts Condition. What: using normal approximation when np>=10 and n(1-p)>=10 When: checking to see if approx. normal Why: must satisfy both conditions.Study with Quizlet and memorize flashcards containing terms like random sample, 10% condition, large counts condition and more. Fresh features from the #1 AI-enhanced learning platform. Explore the lineupIn each of the following settings, check whether the conditions for calculating a confidence interval for the population proportion p are met. 1. An AP Statistics class at a large high school conducts a survey. They ask the first 100 students to arrive at school one morning whether or not they slept at least 8 hours the night before..

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