You are interested in investigating whether gender and major are associated at your college. The table below shows the results of a survey. Math/Science Arts/Humanities Business/Econ. Other Men 76 109 73 49 Women 82 96 93 34 What can be concluded at the αα = 0.01 significance level? What is the correct statistical test to use? Independence Homogeneity Goodness-of-Fit Paired t-test What are the null and alternative hypotheses? H0:H0: The distribution of college major is the same for each gender. College major and gender are independent. College major and gender are dependent. The distribution of college major is not the same for each gender. H1:H1: College major and gender are independent. The distribution of college major is not the same for each gender. College major and gender are dependent. The distribution of college major is the same for each gender. The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is αα Based on this, we should accept the null fail to reject the null reject the null Thus, the final conclusion is... There is sufficient 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 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 independent. There is insufficient evidence to conclude that college major and gender are dependent.

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

Related questions

Question

You are interested in investigating whether gender and major are associated at your college. The table below shows the results of a survey.

	Math/Science	Arts/Humanities	Business/Econ.	Other
Men	76	109	73	49
Women	82	96	93	34

What can be concluded at the αα = 0.01 significance level?

What is the correct statistical test to use?
- Independence
- Homogeneity
- Goodness-of-Fit
- Paired t-test
What are the null and alternative hypotheses?
H0:H0:
- The distribution of college major is the same for each gender.
- College major and gender are independent.
- College major and gender are dependent.
- The distribution of college major is not the same for each gender.
H1:H1:
- College major and gender are independent.
- The distribution of college major is not the same for each gender.
- College major and gender are dependent.
- The distribution of college major is the same for each gender.
The test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is αα
Based on this, we should
- accept the null
- fail to reject the null
- reject the null
Thus, the final conclusion is...
- There is sufficient 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 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 independent.
- There is insufficient evidence to conclude that college major and gender are dependent.