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 day's riders and finds the following:

Male Female

Local 35 36

Non-Local

33

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.

B) Given that ₁represents the proportion of males who use local routes and ₂represents 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.

H₀:₁=₂

H₁:_{1 2}