You are interested in investigating whether gender and major are associated at your college. The table below shows the results of a survey. Men Women Frequencies of Majors and Gender Arts/Humanities 115 114 Math/Science 77 97 Business/Econ. 75 75 Other 42 37

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You are interested in investigating whether gender and major are associated at your college. The table
below shows the results of a survey.
Frequencies of Majors and Gender
Math/Science Arts/Humanities
77
115
97
114
Men
Women
What can be concluded at the a = 0.05 significance level?
a. What is the correct statistical test to use?
O Goodness-of-Fit
Paired t-test
O Independence
O Homogeneity
b. What are the null and alternative hypotheses?
Ho:
H₁:
Business/Econ.
75
75
O The distribution of college major is not the same for each gender.
College major and gender are dependent.
College major and gender are independent.
O The distribution of college major is the same for each gender.
Other
42
37
d. The p-value for this sample=
The distribution of college major is the same for each gender.
College major and gender are dependent.
O The distribution of college major is not the same for each gender.
O College major and gender are independent.
c. The test-statistic for this data =
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
Transcribed Image Text:You are interested in investigating whether gender and major are associated at your college. The table below shows the results of a survey. Frequencies of Majors and Gender Math/Science Arts/Humanities 77 115 97 114 Men Women What can be concluded at the a = 0.05 significance level? a. What is the correct statistical test to use? O Goodness-of-Fit Paired t-test O Independence O Homogeneity b. What are the null and alternative hypotheses? Ho: H₁: Business/Econ. 75 75 O The distribution of college major is not the same for each gender. College major and gender are dependent. College major and gender are independent. O The distribution of college major is the same for each gender. Other 42 37 d. The p-value for this sample= The distribution of college major is the same for each gender. College major and gender are dependent. O The distribution of college major is not the same for each gender. O College major and gender are independent. c. The test-statistic for this data = (Please show your answer to three decimal places.) (Please show your answer to four decimal places.)
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