A fitness center piloted two new programs to help people reduce stress levels and maintain a healthy lifestyle. After one month, 112 of the 125 people who volunteered for a program in mindfulness reported a reduction in stress levels, and 110 of the 135 people who volunteered for a yoga program reported a reduction in stress levels. The fitness center wants to investigate whether there is a significant difference between the proportions of all people in the two programs who would report reductions in stress levels. Have the conditions for inference been met? No, because the samples were not selected or assigned using a random method. Answer A: No, because the samples were not selected or assigned using a random method. A No, because the sizes of the samples are too large compared to the size of the population. Answer B: No, because the sizes of the samples are too large compared to the size of the population. B No, because the normality of the sampling distribution cannot be assumed; the number of people who experienced stress relief is not large enough. Answer C: No, because the normality of the sampling distribution cannot be assumed; the number of people who experienced stress relief is not large enough. C No, because the normality of the sampling distribution cannot be assumed; the number of people who did not experience stress relief is not large enough. Answer D: No, because the normality of the sampling distribution cannot be assumed; the number of people who did not experience stress relief is not large enough. D Yes, because all conditions for making

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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A fitness center piloted two new programs to help people reduce stress levels and maintain a healthy lifestyle. After one month, 112 of the 125 people who volunteered for a program in mindfulness reported a reduction in stress levels, and 110 of the 135 people who volunteered for a yoga program reported a reduction in stress levels. The fitness center wants to investigate whether there is a significant difference between the proportions of all people in the two programs who would report reductions in stress levels. Have the conditions for inference been met?

No, because the samples were not selected or assigned using a random method.

Answer A: No, because the samples were not selected or assigned using a random method.

A
No, because the sizes of the samples are too large compared to the size of the population.

Answer B: No, because the sizes of the samples are too large compared to the size of the population.

B
No, because the normality of the sampling distribution cannot be assumed; the number of people who experienced stress relief is not large enough.

Answer C: No, because the normality of the sampling distribution cannot be assumed; the number of people who experienced stress relief is not large enough.

C
No, because the normality of the sampling distribution cannot be assumed; the number of people who did not experience stress relief is not large enough.

Answer D: No, because the normality of the sampling distribution cannot be assumed; the number of people who did not experience stress relief is not large enough.

D
Yes, because all conditions for making

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