Does mode of transportation depend on political party? Researchers ask a group of people about how they get to work. They also group the people by their political party. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 1% significance level is performed. Car Public Transit Walk Row Total 25 16.1 7 42 11.9 22 17.1 Democrats 14 14 Republicans 22.9 | Column Total 24 20 60 39 29 34 102 (a) The null and alternative hypotheses are: • Họ: The two variables are independent, so political party does not affect mode of transportation. Ha: The two variables are dependent, so political party does affect mode of transportation. (b) Xô = 13.7 (c) Determine the critical value using the following portion of the x2-table. df xổ.10 xổ.05 xổo25 Xổ.01 xả005 1 2.706 3.841 5.024 6.635 7.879 2 4.605 5.991 7.378 9.210 10.597 3 6.251 7.815 9.348 11.345 12.838 4 7.779 9.488 11.143 13.277 14.860 9.236 11.070 12.833 15.086 16.750 6 10.645 12.592 14.449 16.812 18.548 Provide your answer below: critical value

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Does mode of transportation depend on political party? Researchers ask a group of people about how they get to work.
They also group the people by their political party. The data are recorded in the contingency table below, and a chi-square
Test of Independence at the 1% significance level is performed.
Car Public Transit Walk Row Total
25
16.1
10
14
42
7
11.9
Democrats
14
22
17.1
24
20
60
Republicans 22.9
Column Total
39
29
34
102
(a) The null and alternative hypotheses are:
Ho: The two variables are independent, so political party does not affect mode of transportation.
Ha: The two variables are dependent, so political party does affect mode of transportation.
(b) Xở = 13.7
(C) Determine the critical value using the following portion of the x2-table.
xổ 10
xổ.005
df
1
2.706
3.841
5.024
6.635
7.879
4.605
5.991
7.378
9.210 10.597
3
6.251
7.815
9.348
11.345 12.838
4 7.779
9.488
11.143 13.277 14.860
9.236 11.070 12.833 15.086 16.750
6 10.645 12.592 14.449 16.812 18.548
Provide your answer below:
critical value
Transcribed Image Text:Question Does mode of transportation depend on political party? Researchers ask a group of people about how they get to work. They also group the people by their political party. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 1% significance level is performed. Car Public Transit Walk Row Total 25 16.1 10 14 42 7 11.9 Democrats 14 22 17.1 24 20 60 Republicans 22.9 Column Total 39 29 34 102 (a) The null and alternative hypotheses are: Ho: The two variables are independent, so political party does not affect mode of transportation. Ha: The two variables are dependent, so political party does affect mode of transportation. (b) Xở = 13.7 (C) Determine the critical value using the following portion of the x2-table. xổ 10 xổ.005 df 1 2.706 3.841 5.024 6.635 7.879 4.605 5.991 7.378 9.210 10.597 3 6.251 7.815 9.348 11.345 12.838 4 7.779 9.488 11.143 13.277 14.860 9.236 11.070 12.833 15.086 16.750 6 10.645 12.592 14.449 16.812 18.548 Provide your answer below: critical value
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