You are inter shows the results of a survey. Frequencies of Majors and Gender Arts/Humanities Math/Science Business/Econ. Other Men 91 99 79 44 Women 69 105 99 30 What can be concluded at the a = 0.10 significance level? !3! a. What is the correct statistical test to use? O Goodness-of-Fit O Homogeneity O Paired t-test Indenendence

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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
Arts/Humanities
Math/Science
Business/Econ.
Other
Men
91
99
79
44
Women
69
105
99
30
What can be concluded at the a = 0.10 significance level?
a. What is the correct statistical test to use?
O Goodness-of-Fit
O Homogeneity
O Paired t-test
O Independence
b. What are the null and alternative hypotheses?
Ho:
College major and gender are dependent.
The distribution of college major is the same for each gender.
The distribution of college major is not the same for each gender.
College major and gender are independent.
H1 :
The distribution of college major is the same for each gender.
O College major and gender are dependent.
College major and gender are independent.
The distribution of college major is not the same for each gender.
c. The test-statistic for this data =
(Please show your answer to three decimal places.)
d. The p-value for this sample =
(Please show your answer to four decimal places.)
e. The p-value is Select an answer
f. Based on this, we should
accept the null
fail to reject the null
O reject the null
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 Arts/Humanities Math/Science Business/Econ. Other Men 91 99 79 44 Women 69 105 99 30 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? O Goodness-of-Fit O Homogeneity O Paired t-test O Independence b. What are the null and alternative hypotheses? Ho: College major and gender are dependent. The distribution of college major is the same for each gender. The distribution of college major is not the same for each gender. College major and gender are independent. H1 : The distribution of college major is the same for each gender. O College major and gender are dependent. College major and gender are independent. The distribution of college major is not the same for each gender. c. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample = (Please show your answer to four decimal places.) e. The p-value is Select an answer f. Based on this, we should accept the null fail to reject the null O reject the null
g. Thus, the final conclusion is...
There is insufficient evidence to conclude that college major and gender are dependent.
There is insufficient evidence to conclude that the distribution of college major is not the same
for each gender.
There is sufficient evidence to conclude that college major and gender are dependent.
There is sufficient evidence to conclude that college major and gender are independent.
There is sufficient evidence to conclude that the distribution of college major is not the same for
each gender.
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Transcribed Image Text:g. Thus, the final conclusion is... There is insufficient evidence to conclude that college major and gender are dependent. There is insufficient evidence to conclude that the distribution of college major is not the same for each gender. There is sufficient evidence to conclude that college major and gender are dependent. There is sufficient evidence to conclude that college major and gender are independent. There is sufficient evidence to conclude that the distribution of college major is not the same for each gender. Hint: Helpful Video E [+] Help Question Help: Message instructor Submit Question MacBook Pro Q Search or enter website name % full screenshot for & screenshot selected 3 4 5 6 7 area close open Airdrop open slide open find get info Bookmarks Bar (Salari) quick show look indows Utnities in folder R. T Y e as open Desktop search hide other show dups cate go to (he folder Aearch bar Dide window Windews Mac D H. CO %24
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