How would you rate yourself as a driver? According to a survey conducted by the Field Institute, most Californians think they are good drivers but have little respect for others€™ driving ability. The data show the distribution of opinions according to gender for two different questions, the first rating themselves as drivers and the second rating others as drivers. Although not stated in the source, we assume that there were 100 men and 100 women in the surveyed group.

a. Is there sufficient evidence to indicate that there is a difference in the self-ratings between male and female drivers? Find the approximate p-value for the test.

b. Is there sufficient evidence to indicate that there is a difference in the ratings of other drivers between male and female drivers? Find the approximate p-value for the test.

c. Have any of the assumptions necessary for the analysis used in parts a and b been violated? What affect might this have on the validity of your conclusions?

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Rating Self as a Driver Gender Excellent Good Fair Male Female 43 48 9 53 44 3 Rating Others As Drivers Good Fair Poor/Very Poor Gender Excellent Male Female 42 41 13 3 48 35 14