The data summarized in the accompanying table is from a paper. Suppose that the data resulted from classifying each person in a random sample of 48 male students and each person in a random sample of 88 female students at a particular college according to their response to a question about whether they usually eat three meals a day or rarely eat three meals a day. Male Female Usually Eat 3 Meals a Day 25 35 Rarely Eat 3 Meals a Day 23 53 (a) Is there evidence that the proportions falling into each of the two response categories are not the same for males and females? Use the x² statistic to test the relevant hypotheses with a significance level of 0.05. Calculate the test statistic. (Round your answer to two decimal places.) x² Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. There is convincing evidence that the proportions falling into the two response categories are not the same for males and females. O Fail to reject Ho. There is convincing evidence that the proportions falling into the two response categories are not the same for males and females. O Reject Ho. There is not convincing evidence that the proportions falling into the two response categories are not the same for males and females. O Fail to reject Ho. There is not convincing evidence that the proportions falling into the two response categories are not the same for males and females.
The data summarized in the accompanying table is from a paper. Suppose that the data resulted from classifying each person in a random sample of 48 male students and each person in a random sample of 88 female students at a particular college according to their response to a question about whether they usually eat three meals a day or rarely eat three meals a day. Male Female Usually Eat 3 Meals a Day 25 35 Rarely Eat 3 Meals a Day 23 53 (a) Is there evidence that the proportions falling into each of the two response categories are not the same for males and females? Use the x² statistic to test the relevant hypotheses with a significance level of 0.05. Calculate the test statistic. (Round your answer to two decimal places.) x² Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. There is convincing evidence that the proportions falling into the two response categories are not the same for males and females. O Fail to reject Ho. There is convincing evidence that the proportions falling into the two response categories are not the same for males and females. O Reject Ho. There is not convincing evidence that the proportions falling into the two response categories are not the same for males and females. O Fail to reject Ho. There is not convincing evidence that the proportions falling into the two response categories are not the same for males and females.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The data summarized in the accompanying table is from a paper. Suppose that the data resulted from classifying each person in
a random sample of 48 male students and each person in a random sample of 88 female students at a particular college
according to their response to a question about whether they usually eat three meals a day or rarely eat three meals a day.
Male
Female
Usually Eat
3 Meals a Day
25
35
Rarely Eat
3 Meals a Day
23
53
Is there evidence that the proportions falling into each of the two response categories are not the same for males and
females? Use the x² statistic to test the relevant hypotheses with a significance level of 0.05.
Calculate the test statistic. (Round your answer to two decimal places.)
x² =
Use technology to calculate the P-value. (Round your answer to four decimal places.)
P-value =
What can you conclude?
O Reject Ho. There is convincing evidence that the proportions falling into the two response categories are not the same
for males and females.
O Fail to reject Ho. There is convincing evidence that the proportions falling into the two response categories are not the
same for males and females.
O Reject Ho. There is not convincing evidence that the proportions falling into the two response categories are not the
same for males and females.
O Fail to reject Ho. There is not convincing evidence that the proportions falling into the two response categories are not
the same for males and females.
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