Question # 3

Perform the following hypothesis test on the paired data below:

HO: d = 0 (Please recall that d is read ~ and also known as ~ Mu-sub-d) HA: d 0 Test at = 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)

Note: Because the above is a two-tail test, rejection of Ho alone is not asufficient reason. Hint: What else did you observe among the sample results?