The data in the accompanying table are from a paper. Suppose that each person in a random sample of 47 male students and in a random sample of 89 female students at a particular college was classified according to gender and whether they usually rarely eat three meals a day. Usually Eat 3 Meals a Day Rarely Eat 3 Meals a Day Male 25 22 Female 37 52 (a) Is there evidence that the proportions who would fall into each of the two response categories are not the same for males and females? Use the X statistic to test the relevant hypotheses with a significance level of a - 0.05. State the appropriate null and alternative hypotheses. O H,: The proportions falling into the two response categories are the same for males and females. H: The proportions falling into the two response categories are not the same for males and females. O H: The proportions falling into the two response categories are not the same for males and females. H: The proportions falling into the two response categories are the same for males and females. O H,: The proportions falling into the two response categories are 0.5 for both males and females. H: The proportions falling into the two response categories are not 0.5 for both males and females. O H: The proportions falling into the two response categories are not 0.5 for both males and females. H: The proportions falling into the two response categories are 0.5 for both males and females. Find the test statistic and P-value. (Use technology. Round your test statistic to three decimal places and your P-value to four decimal places.) P-value =
The data in the accompanying table are from a paper. Suppose that each person in a random sample of 47 male students and in a random sample of 89 female students at a particular college was classified according to gender and whether they usually rarely eat three meals a day. Usually Eat 3 Meals a Day Rarely Eat 3 Meals a Day Male 25 22 Female 37 52 (a) Is there evidence that the proportions who would fall into each of the two response categories are not the same for males and females? Use the X statistic to test the relevant hypotheses with a significance level of a - 0.05. State the appropriate null and alternative hypotheses. O H,: The proportions falling into the two response categories are the same for males and females. H: The proportions falling into the two response categories are not the same for males and females. O H: The proportions falling into the two response categories are not the same for males and females. H: The proportions falling into the two response categories are the same for males and females. O H,: The proportions falling into the two response categories are 0.5 for both males and females. H: The proportions falling into the two response categories are not 0.5 for both males and females. O H: The proportions falling into the two response categories are not 0.5 for both males and females. H: The proportions falling into the two response categories are 0.5 for both males and females. Find the test statistic and P-value. (Use technology. Round your test statistic to three decimal places and your P-value to four decimal places.) P-value =
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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