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 decisiorn to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the percentages are normally distributed. Identify the critical value(s) of the t-test statistic, where α-0.05. Use a comma and a space to separate answers as needed 0.01 Probability Degrees of Freedom 5 6 0.10 0.05 0.025 0.005 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 1.761 1.753

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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 decisiorn
to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each
difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after
the decision. Assume that the percentages are normally distributed. Identify the critical value(s) of the t-test statistic, where
α-0.05. Use a comma and a space to separate answers as needed
0.01
Probability
Degrees of Freedom
5
6
0.10
0.05
0.025
0.005
1.476
1.440
1.415
1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.650
2.624
2.602
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
1.761
1.753
Transcribed Image Text: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 decisiorn to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the percentages are normally distributed. Identify the critical value(s) of the t-test statistic, where α-0.05. Use a comma and a space to separate answers as needed 0.01 Probability Degrees of Freedom 5 6 0.10 0.05 0.025 0.005 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 1.761 1.753
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