The data summarized in the accompanying table is from a paper. Suppose that the data resulted from classifying each pers 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=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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.
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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