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
27
44
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.
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.
H0:π1 = π2
H1:π1 ≠ π2