The following MINITAB output presents the results of a hypothesis test for the difference p1 - p2 between two population proportions.
Test and CI for Two Proportions
|
Sample
|
X
|
N
|
Sample p
|
|
1
|
41
|
97
|
0.422680
|
|
2
|
37
|
61
|
0.606557
|
Difference = p (1) - p (2) Estimate for difference: -0.183877
95% CI for difference: (-0.341016, -0.026738)
Test for difference = 0 (vs not = 0): Z = -2.25 P-Value = 0.024
a. Is this a one-tailed or two-tailed test?
b. What is the null hypothesis?
c. Can H0 be rejected at the 5% level? How can you tell?