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Night Owls ~ A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual proportion of MSU students who regularly sleep less than 8 hours each night is less than the value reported by the MSU psychologist. She randomly selects 215 students and asks them, "Do you regularly sleep less than 8 hours each night?" She finds that 77 of the 215 students answered "yes" to che question. 1. Which one of the following statements about the number 40% is correct? OA. It is a sample statistic. OB. It is a standard error. OC. It is a margin of error. OD. It is a claimed parameter. 2. Choose the null and alternative hypotheses Cindy should use to test her theory. A Ho: n -04 H. :n+04

Night Owls ~ A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual proportion of MSU students who regularly sleep less than 8 hours each night is less than the value reported by the MSU psychologist. She randomly selects 215 students and asks them, "Do you regularly sleep less than 8 hours each night?" She finds that 77 of the 215 students answered "yes" to che question. 1. Which one of the following statements about the number 40% is correct? OA. It is a sample statistic. OB. It is a standard error. OC. It is a margin of error. OD. It is a claimed parameter. 2. Choose the null and alternative hypotheses Cindy should use to test her theory. A Ho: n -04 H. :n+04

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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I need help with all of them plz. 

4. Calculate the test statistic. z = 5. Calculate the value. p = 6. Which of the following describes the probability represented by the p-value for this test? OA. It is the probability that any random sample of 215 MSU students would have 35.81% saying they regularly sleep less than 8 hours a day. B. It is the probability that a random sample of 215 MSU students would result in 35.81% or fewer who regularly sleep less than 8 hours a day, assuming the null model is valid. OC. It is the probability that 40% of all MSU students regularly sleep less than 8 hours a day, assuming the null model is valid. D. It is the probability that less than 40% of MSU students regularly sleep less than 8 hours a day if, in fact, 35.81% actually do. O E. None of the above.
Transcribed Image Text:4. Calculate the test statistic. z = 5. Calculate the value. p = 6. Which of the following describes the probability represented by the p-value for this test? OA. It is the probability that any random sample of 215 MSU students would have 35.81% saying they regularly sleep less than 8 hours a day. B. It is the probability that a random sample of 215 MSU students would result in 35.81% or fewer who regularly sleep less than 8 hours a day, assuming the null model is valid. OC. It is the probability that 40% of all MSU students regularly sleep less than 8 hours a day, assuming the null model is valid. D. It is the probability that less than 40% of MSU students regularly sleep less than 8 hours a day if, in fact, 35.81% actually do. O E. None of the above.
A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual Night Owls proportion of MSU students who regularly sleep less than 8 hours each night is less than the value reported by the MSU psychologist. She randomly selects 215 students and asks them, "Do you regularly sleep less than 8 hours each night?" She finds that 77 of the 215 students answered "yes" to the question. 1. Which one of the following statements about the number 40% is correct? A. It is a sample statistic. B. It is a standard error. OC. It is a margin of error. D. It is a claimed parameter. 2. Choose the null and alternative hypotheses Cindy should use to test her theory. А. Но : р %3D 0.4, НА : р#0.4 0.4, НА : р < 0.4 0.4, НА : р< 0.36 OD. Ho : р3D0.4, Нд : р> 0.4 В. Но : р %3D A С. Но : р %3D 3. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? OA. 28 В. 10 OC. None of the above D. 20 Е. 77 OF. 26 4. Calculate the test statistic. Z = 5. Calculate the p value. p = 6. Which of the following describes the probability represented by the p-value for this test?
Transcribed Image Text:A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual Night Owls proportion of MSU students who regularly sleep less than 8 hours each night is less than the value reported by the MSU psychologist. She randomly selects 215 students and asks them, "Do you regularly sleep less than 8 hours each night?" She finds that 77 of the 215 students answered "yes" to the question. 1. Which one of the following statements about the number 40% is correct? A. It is a sample statistic. B. It is a standard error. OC. It is a margin of error. D. It is a claimed parameter. 2. Choose the null and alternative hypotheses Cindy should use to test her theory. А. Но : р %3D 0.4, НА : р#0.4 0.4, НА : р < 0.4 0.4, НА : р< 0.36 OD. Ho : р3D0.4, Нд : р> 0.4 В. Но : р %3D A С. Но : р %3D 3. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? OA. 28 В. 10 OC. None of the above D. 20 Е. 77 OF. 26 4. Calculate the test statistic. Z = 5. Calculate the p value. p = 6. Which of the following describes the probability represented by the p-value for this test?
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