In: Statistics and Probability
Question # 3
Perform the following hypothesis test on the paired data below:
HO: µd = 0 (Please recall that µd is read ~ and also known as ~ Mu-sub-d) HA: µd ≠ 0 Test at α = 0.05
Before
30
75
92
69
61
57
57
89
92
After
53
68
98
62
67
71
68
96
98
a) Is this an upper tail, lower tail, or two-tail test? (5
points)
b) Are we testing means or proportions? (5 points)
c) State the rule of rejection (in terms of p-value and level of
significance) (5 points)
d) Find the p-value (5 points)
e) Should you reject or not reject HO? (5 points)
f) Do the data provide sufficient evidence to suggest the After
scores are indeed higher? Why or why not? (5 points)