Question

9. The data in the following table summarizes information I collected from my 32 algebra students. Test the claim that passing the course and doing the homework are independent.

Did all of their homework

Passed the Course      Yes                 No

Yes 16                    3

No 5                     8

USE A 0.05 SIGNIFICANCE LEVEL TO TEST THE CLAIM:

H0: The row and column variables are independent. (generic null hypothesis)

H1: The row and column variables are dependent. (generic alternative hypothesis)

Test Statistic: X2=_________ Q34(ROUND TO 3 DECIMAL PLACES)

P-value: p=___________Q35(ROUND TO 4 DECIMAL PLACES)

Decision/Conclusion: _________________________________Q36(CIRCLE ONE BELOW)

Reject H0, There is sufficient evidence to warrant the rejection of the claim of independence.

OR

Fail to Reject H0, There is not sufficient evidence to warrant the rejection of the claim of independence.

Answer 1

Since P-value<0.05 so

Option: Reject H0, There is sufficient evidence to warrant the rejection of the claim of independence.