TABLE 11-3
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 11-3, the null hypothesis will be rejected.

Question

TABLE 11-3
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 11-3, the null hypothesis will be rejected.

Quizplus · Accepted Answer

The chi-square test is used to determine if there is a significant difference between observed and expected frequencies in a contingency table. In this case, the director of transportation wants to test if there is a difference in the proportion of males and females using the local routes. The null hypothesis would be that there is no difference between the proportions, and the alternative hypothesis would be that there is a difference. If the p-value is less than 0.05, the null hypothesis would be rejected, indicating that there is a statistically significant difference between the proportions. Without knowing the actual test results or p-value, we cannot say for certain, but the question implies that the director will reject the null hypothesis, so the answer is A.

TABLE 11-3 The Director of Transportation of a Large Company Is Interested