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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 the 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. OA. Họ : p = 0.4, HA : p # 0.4 Ов. Но : р%3D 0.4, Нд :р<0.4 ос. Но : р %3D 0.4, Нд : р<0.36 OD. Ho : p = 0.4, HA : P > 0.4 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?

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 the 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. OA. Họ : p = 0.4, HA : p # 0.4 Ов. Но : р%3D 0.4, Нд :р<0.4 ос. Но : р %3D 0.4, Нд : р<0.36 OD. Ho : p = 0.4, HA : P > 0.4 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?

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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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. A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual 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. C. 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, Нд : р+0.4 В. Но : р %3D 0.4, На : р<0.4 С. Но : р— 0.4, Нд : р<0.36 D. Ho : p = 0.4, HA : P > 0.4 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 C. None of the above D. 20 Е. 77 OF. 26
Transcribed Image Text: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. A MSU psychologist reports that 40% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual 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. C. 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, Нд : р+0.4 В. Но : р %3D 0.4, На : р<0.4 С. Но : р— 0.4, Нд : р<0.36 D. Ho : p = 0.4, HA : P > 0.4 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 C. None of the above D. 20 Е. 77 OF. 26
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