Calculate the test statistic (t-value) and degrees of freedom for a hypothesis test for the differences of paired data (dependent samples) Question 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 After (percent) Approval Rating Before (percent) 58.9 56.2 54.7 52.1 52.1 49.6 50.2 49.3 54.3 54.1 48.6 50.7 61.2 54.7 49.6 46.1 Provide your answer below:

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Calculate the test statistic (t-value) and degrees of freedom for a hypothesis test for the differences of paired data (dependent samples)
Question
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 After
(percent)
Approval Rating Before
(percent)
58.9
56.2
54.7
52.1
52.1
49.6
50.2
49.3
54.3
54.1
48.6
50.7
61.2
54.7
49.6
46.1
Provide your answer below:
Transcribed Image Text:Calculate the test statistic (t-value) and degrees of freedom for a hypothesis test for the differences of paired data (dependent samples) Question 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 After (percent) Approval Rating Before (percent) 58.9 56.2 54.7 52.1 52.1 49.6 50.2 49.3 54.3 54.1 48.6 50.7 61.2 54.7 49.6 46.1 Provide your answer below:
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