An educational researcher wishes to know if there is a difference in academic performance for college freshmen that live on campus and those that commute. Data was collected from 336 students. Can we conclude that freshman housing location and academic performance are related? Location Average Below Average Above Average TotalOn campus 99 89 89 277Off campus 41 10 8 59Total 140 99 97 336 A) State the null and alternative hypothesis. B) Find the expected value for the number of students that live on campus and have academic performance that is average. Round your answer to one decimal place. C) Find the expected value for the number of students that live on campus and have academic performance that is above average. Round your answer to one decimal place. D) Find the value of the test statistic. Round your answer to three decimal places. E) Find the degrees of freedom associated with the test statistic for this problem. F) Find the critical value of the test at the 0.01 level of significance. Round your answer to three decimal places. G) Make the decision to reject or fail to reject the null hypothesis at the 0.01 level of significance. H) State the conclusion of the hypothesis test at the 0.01 level of significance.
An educational researcher wishes to know if there is a difference in academic performance for college freshmen that live on campus and those that commute. Data was collected from 336 students. Can we conclude that freshman housing location and academic performance are related?
Location Average Below Average Above Average Total
On campus 99 89 89 277
Off campus 41 10 8 59
Total 140 99 97 336
A) State the null and alternative hypothesis.
B) Find the expected value for the number of students that live on campus and have academic performance that is average. Round your answer to one decimal place.
C) Find the expected value for the number of students that live on campus and have academic performance that is above average. Round your answer to one decimal place.
D) Find the value of the test statistic. Round your answer to three decimal places.
E) Find the degrees of freedom associated with the test statistic for this problem.
F) Find the critical value of the test at the 0.01 level of significance. Round your answer to three decimal places.
G) Make the decision to reject or fail to reject the null hypothesis at the 0.01 level of significance.
H) State the conclusion of the hypothesis test at the 0.01 level of significance.
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