You are concerned with how well college-educated women in Wisconsin cope with divorce. You have reason to believe that they cope better than the general population. You sample 100 female college-educated Wisconsin residents who were divorced in the past six months and you have them take the Coping With Divorce survey. The CWD has a population mean of 48 and a population standard deviation of 12. High scores on the CWD indicate coping well whereas low scores on the CWD indicate coping poorly. The CWD mean of your sample comes out to be 50. Carry out a directional test with α equal to .05.

1. What is the correct form of the null hypothesis?

a. H₀: µ = 48

b. H₀: µ ≠ 48

c. H₀: µ ≥ 48

d. H₀: µ ≤ 48

2. What is the correct form of the alternative hypothesis?

a. H₁: µ = 48

b. H₁: µ ≠ 48

c. H₁: µ > 48

d. H₁: µ < 48

3. What is the z critical value that will be used in the decision rule?
a. 1.65
b. –1.65
c. 2.33
d. –2.33

4. Calculate z.

5. What statistical decision should be made?

a. Reject H₀

b. Retain H₀

6. On the basis of the results, would you conclude that college-educated Wisconsin females are different from the general population with respect to coping with divorce?

a. Yes, they cope better.

b. Yes, they cope less well.

c. No evidence that they cope differently.