A four-year university has decided to implement a new approach to teaching Statistics. Full-time and adjunct professors were surveyed to determine whether they preferred the traditional lecture approach or a computer approach to teaching Statistics.

prefers lectures prefers computers no preference

full time 15 13 2

adjunct 11 22 10

1. For a hypothesis test to test the independence of opinion between the two groups, identify the correct alternate hypothesis

a. H₀: The opinion is independent of status

b. H_A: The opinion is independent of status

c. H_A: The opinion is dependent upon status

d. H_A: The status is dependent upon opinion

2. For a hypothesis test to test the independence of opinion between the two groups, find the expected value (from the expected matrix) of a full-time professor who prefers lecture. i.e. E_1,1. Round to 3 decimal places.

a. 20.616

b. 10.685

c. 14.384

d. 15.315

3. For a hypothesis test to test the independence of opinion between the two groups, calculate the p-value and round to 3 significant decimal places

4. For the status versus opinion data,, for =5%, the correct decision about H₀is..

a. Accept H₀

b. Fail to reject H₀

c. Reject H₀

d.Fail to Accept H₀

e. Accept H_A