TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below. At the 0.05 level of significance,you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
-True or False: Referring to Table 12-7,the decision made suggests that the 3 cities do not all have the same proportion of hotels that correctly post minibar charges.

Question

TABLE 12-7
Data on the percentage of 200 hotels in each of the three large cities across the world on whether minibar charges are correctly posted at checkout are given below.  At the 0.05 level of significance,you want to know if there is evidence of a difference in the proportion of hotels that correctly post minibar charges among the three cities.
-True or False: Referring to Table 12-7,the decision made suggests that the 3 cities do not all have the same proportion of hotels that correctly post minibar charges.

Quizplus · Accepted Answer

This is a test for independence among more than two groups, so we use a chi-square test. The calculated chi-square value is 7.39, with 4 degrees of freedom, and the p-value is 0.12. Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis of no difference in proportions among the three cities. Therefore, the decision made suggests that the 3 cities do not all have the same proportion of hotels that correctly post minibar charges.

TABLE 12-7 Data on the Percentage of 200 Hotels in Each of Each