SCENARIO 10-9 The following EXCEL output contains the results of a test to determine whether the proportions of satisfied customers at two resorts are the same or different.
-Referring to Scenario 10-9, if you want to test the claim that "Resort 1 (Group 1)has a lower proportion of satisfied customers compared to Resort 2 (Group 2)", you will use
A)a t-test for the difference between two proportions.
B)a Z-test for the difference between two proportions.
C)an F test for the difference between two proportions.
D)an F test for the ratio of two variances.

Question

SCENARIO 10-9 The following EXCEL output contains the results of a test to determine whether the proportions of satisfied customers at two resorts are the same or different. 
-Referring to Scenario 10-9, if you want to test the claim that "Resort 1 (Group 1)has a lower proportion of satisfied customers compared to Resort 2 (Group 2)", you will use
A)a t-test for the difference between two proportions. 
B)a Z-test for the difference between two proportions. 
C)an F test for the difference between two proportions. 
D)an F test for the ratio of two variances.

Quizplus · Accepted Answer

A Z-test for the difference between two proportions is appropriate when comparing two proportions from independent groups and the sample sizes are sufficiently large. In this scenario, we are comparing the proportion of satisfied customers in two different resorts (groups). The sample sizes are large enough (both are greater than 30) to use a Z-test rather than a t-test. To test the claim that one proportion is lower than another proportion, we need to use a Z-test for the difference between two proportions. The null hypothesis in this case is that the two proportions are equal, and the alternative hypothesis is that the proportion for Resort 1 is lower than the proportion for Resort 2. The test statistic is calculated using the formula z = (p1 - p2) / sqrt(pooled proportion * (1 - pooled proportion) * (1/n1 + 1/n2)), where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes, and the pooled proportion is (x1 + x2) / (n1 + n2).

SCENARIO 10-9 the Following EXCEL Output Contains the Results of a Test