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?
b) Are we testing means or proportions?
c) State the rule of rejection (in terms of p-value and level of significance)
d) Find the p-value
e) Should you reject or not reject HO?
f) Do the data provide sufficient evidence to suggest the After scores are indeed higher? Why or why not?
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