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3) Please answer questions A and B based on the following information: The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non- local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a days riders and finds the following: Male Female Local 35 36 Non-Local 25 She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05 A) Please develop the Expected frequencies table based on the above information showing all the relevant calculations. (10 points) B) Given that π represents the proportion of males who use local routes and represents the proportion of females who use local routes; perform the Chi-square test of hypothesis for the following and also show all the relevant calculations. (10 points) 0 1 2 2

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