The director of transportation of a large company is interested in the usage of her van pool.

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 day's riders and finds the following:

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. (10 points)

,

B) Given that π1 represents the proportion of males who use local routes and π2 represents the proportion of females who use local routes; perform the Chi-square test of hypothesis for the following. (10 points)

H0:π1 = π2