A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores by more than 3 percentag points. To test this, they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after the course. The test results are below (scores are out of 100%): Person Initial Test Post-Test 1 68 66 72 73 3 60 62 4 76 81 73 79 6. 70 76 69 82 8. 68 68 Is there evidence, at an a = 0.065 level of significance, to conclude that the prep course improves scores by more than 3 percentage points? Carry out an appropriate hypothesis test, filling in the information requested. (Arrange your data so that the standardized test statistic is for the change from the initial test to the post-test.) A. What test method should be used? OA. Two Sample z O B. Matched Pairs OC. Two Sample t B. The value of the standardized test statistic: (give to at least 3 decimal places) C. The p-value is (give to 4 decimal places)

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Please see below. I need help with the two red boxes as my answers came back wrong. Note that the test statistics IS NOT 0.5357
A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores by more than 3 percentage
points. To test this, they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a
post-test after the course. The test results are below (scores are out of 100%):
Person
Initial Test
Post-Test
1
68
66
72
73
3
60
62
4
76
81
73
79
6.
70
76
7
69
82
8.
68
68
Is there evidence, at an a = 0.065 level of significance, to conclude that the prep course improves scores by more than 3 percentage
points? Carry out an appropriate hypothesis test, filling in the information requested. (Arrange your data so that the standardized test
statistic is for the change from the initial test to the post-test.)
A. What test method should be used?
OA. Two Sample z
O B. Matched Pairs
OC. Two Sample t
B. The value of the standardized test statistic: (give to at least 3 decimal places)
C. The p-value is (give to 4 decimal places)
Transcribed Image Text:A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores by more than 3 percentage points. To test this, they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after the course. The test results are below (scores are out of 100%): Person Initial Test Post-Test 1 68 66 72 73 3 60 62 4 76 81 73 79 6. 70 76 7 69 82 8. 68 68 Is there evidence, at an a = 0.065 level of significance, to conclude that the prep course improves scores by more than 3 percentage points? Carry out an appropriate hypothesis test, filling in the information requested. (Arrange your data so that the standardized test statistic is for the change from the initial test to the post-test.) A. What test method should be used? OA. Two Sample z O B. Matched Pairs OC. Two Sample t B. The value of the standardized test statistic: (give to at least 3 decimal places) C. The p-value is (give to 4 decimal places)
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