A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision to the approval ratings after the decision. If we let d=approval rating after−approval rating before, based on the data below, what are the test statistic and degrees of freedom of an appropriate hypothesis test? Assume that the approval ratings are normally distributed. Round the test statistic to three decimal places. Approval Rating Before (percent) Approval Rating After (percent) 58.9 56.2 54.7 52.1 52.1 49.6 50.2 49.3 54.3 54.1 50.7 48.6 61.2 54.7 49.6 46.1 Provide your answer below: t= , df =
A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision to the approval ratings after the decision. If we let d=approval rating after−approval rating before, based on the data below, what are the test statistic and degrees of freedom of an appropriate hypothesis test? Assume that the approval ratings are
|
Approval Rating Before (percent) |
Approval Rating After (percent) |
|
58.9 |
56.2 |
|
54.7 |
52.1 |
|
52.1 |
49.6 |
|
50.2 |
49.3 |
|
54.3 |
54.1 |
|
50.7 |
48.6 |
|
61.2 |
54.7 |
|
49.6 |
46.1 |
Provide your answer below:
t= , df =
Given:
n=8
The significance level is taken as 0.05.
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