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 253 students. Can we conclude that freshman housing location and academic performance are related? Location Average BelowAverage Above Average Total On campus 99 33 33 165 Off campus 26 31 31 88 Total 125 64 64 253 Step 1. State the null and alternative hypothesis. H0: Ha: Step 2. 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. Answer: ____________________ Step 3. Find the expected value for the number of students that live on campus and have academic performance that is below average. Round your answer to one decimal place. Answer: ____________________ Step 4. Find the value of the test statistic. Round your answer to three decimal places. Answer: ____________________ Step 5. Find the degrees of freedom associated with the test statistic for this problem. Answer: ____________________ Step 6. Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places. Answer: ____________________ Step 7. Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance. Step 8. State the conclusion of the hypothesis test at the 0.025 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 253 students. Can we conclude that freshman housing location and academic performance are related?
Location Average BelowAverage Above Average Total
On campus 99 33 33 165
Off campus 26 31 31 88
Total 125 64 64 253
Step 1. State the null and alternative hypothesis.
H0:
Ha:
Step 2. 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.
Answer: ____________________
Step 3. Find the expected value for the number of students that live on campus and have
academic performance that is below average. Round your answer to one decimal place.
Answer: ____________________
Step 4. Find the value of the test statistic. Round your answer to three decimal places.
Answer: ____________________
Step 5. Find the degrees of freedom associated with the test statistic for this problem.
Answer: ____________________
Step 6. Find the critical value of the test at the 0.025 level of significance. Round your
answer to three decimal places.
Answer: ____________________
Step 7. Make the decision to reject or fail to reject the null hypothesis at the 0.025 level
of significance.
Step 8. State the conclusion of the hypothesis test at the 0.025 level of significance.
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