TABLE 12-3
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.
-Referring to Table 12-3, the decision made suggests that there is a difference between the proportion of males and females who ride local versus non-local routes.

Question

TABLE 12-3
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.
-Referring to Table 12-3, the decision made suggests that there is a difference between the proportion of males and females who ride local versus non-local routes.

Quizplus · Accepted Answer

The table displays the results of a chi-square test of independence for the gender of riders and the type of route taken (local vs non-local). The computed chi-square value is 4.818, which is greater than the critical value of 3.84 (with 1 degree of freedom and a significance level of 0.05). Therefore, the null hypothesis (that there is no difference in the proportion of males and females who ride local vs non-local routes) is rejected. The decision made suggests that there is a difference between the proportion of males and females who ride local vs non-local routes.

TABLE 12-3 The Director of Transportation of a Large Company Is Interested