I need help with A & B please. 3) Please answer questions A and B based on the f

Question

I need help with A & B please.

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 Loca 27 Non-Loca 25 She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05 A) Please dev calculations. (10 points) B) Given that TI, represents the proportion of males who use local routes and T, 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) elop the Expected frequencies table based on the above information showing all the relevant

Explanation / Answer

a) The expected frequencies are

b)

The chisquare contribution values are

Degrees of freedom: 1

Test Statistic, X^2: 4.5682
Critical X^2: 3.841456
P-Value: 0.0326

Here P-value < alpha 0.05, so we reject H0

That is, there is significance difference of proportion of males and females

Male Female Total Local 33.023 37.977 71 Non Local 26.977 31.023 58 Total 60 69 129

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