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 or rarely eat three meals a day. Usually Eat 3 Meals a Day Rarely Eat 3 Meals a Day Male 25 22 Female 37 52

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A 14.2 Test Homogeneity and Indpi x
b The data summarized in the acco X
G screenshot screen on windows -
A webassign.net/web/Student/Assignment-Responses/last?dep=25472461
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 or 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 Ho: The proportions falling into the two response categories are the same for males and females.
H3: 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 Ho: 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 Ho: 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.)
x2
P-value =
12:14 AM
P Type here to search
A D 4)
26
12/10/2020
近
Transcribed Image Text:A 14.2 Test Homogeneity and Indpi x b The data summarized in the acco X G screenshot screen on windows - A webassign.net/web/Student/Assignment-Responses/last?dep=25472461 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 or 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 Ho: The proportions falling into the two response categories are the same for males and females. H3: 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 Ho: 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 Ho: 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.) x2 P-value = 12:14 AM P Type here to search A D 4) 26 12/10/2020 近
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