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 Business/Econ. Other Men 79 119 100 48 Women 102 103 78 32 What can be concluded at the a = 0.01 significance level? a. What is the correct statistical test to use? O Independence: O Goodness-of-Fit O Homogeneity O Paired t-test b. What are the null and alternatlve hypotheses? O The distribution of college major is not the same for each gender. O College major and gender are independent. O The distribution of college major is the same for each gender. O College major and gender are dependent. College major and gender are independent. O The distribution of college major is not the same tor cach gender. MacBook PrO

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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
Business/Econ.
Other
Men
79
119
100
48
Women
102
103
78
32
What can be concluded at the a = 0.01 significante level?
a. What Is the correct statistical test to use?
O Independence
O Goodness-of-Fit
O Homogeneity
O Paired t-test
b. What are the null and alternative hypotheses?
O The distribution of college major is not the same for each gender.
O College major and gender are independent.
O The distribution of college major is the same for each gender.
O College major and gender are dependent.
O College major and gender are independent.
O The distribution of college major Is not the same for cach gender.
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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 Business/Econ. Other Men 79 119 100 48 Women 102 103 78 32 What can be concluded at the a = 0.01 significante level? a. What Is the correct statistical test to use? O Independence O Goodness-of-Fit O Homogeneity O Paired t-test b. What are the null and alternative hypotheses? O The distribution of college major is not the same for each gender. O College major and gender are independent. O The distribution of college major is the same for each gender. O College major and gender are dependent. O College major and gender are independent. O The distribution of college major Is not the same for cach gender. VacBook Pro esc F1 F2 F4 F5 F7 ! #3 %24 % 1 3 4 "ab Q W E R T < co
O College major and gender are independent.
O The distribution of college major is not the same for each gender.
O The distribution of college major is the same for each gender.
O College major and gender are dependent.
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
O reject the null
O fall to reject the null
O accept the null
g. Thus, the final conclusion is.
O There is sufficient evidence to conclude that college major and gender are independent.
O There is insufficient evidence to conclude that college major and gender are dependent.
O There is insufficient evidence to conclude that the distribution of college major is not the
şame for each gender.
O There is sufficlent evidence to conclude that college major and gender are dependent.
O There Is sufficient evidence to conclude that the distribution of college major is not the
same for each gender.
Hint Helpful Viieo
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Transcribed Image Text:O College major and gender are independent. O The distribution of college major is not the same for each gender. O The distribution of college major is the same for each gender. O College major and gender are dependent. 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 O reject the null O fall to reject the null O accept the null g. Thus, the final conclusion is. O There is sufficient evidence to conclude that college major and gender are independent. O There is insufficient evidence to conclude that college major and gender are dependent. O There is insufficient evidence to conclude that the distribution of college major is not the şame for each gender. O There is sufficlent evidence to conclude that college major and gender are dependent. O There Is sufficient evidence to conclude that the distribution of college major is not the same for each gender. Hint Helpful Viieo MacBook Pro esc F1 F2 こ。 F3 F4 F5 F6 F7 #3 $ & 3 4 Q W E R CO w/
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