Mathematics, 15.11.2020 22:10 dios01

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 5% significance level is performed. Car

Public Transit

Walk

Row Total

Democrats

24

22

24

70

Republicans

23

10

23

56

Column Total

47

32

47

126

(a) The null and alternative hypotheses are:

H0: 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) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.)

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