Question

In a survey of 75 randomly selected people in country A, 12 would like to travel abroad. In a survey of 60 randomly selected people in country B, 12 would like to travel abroad. Compute the test statistic for a hypothesis test to compare the population proportion of people in country A that would like to travel abroad to the proportion in country B that would like to.

Options:
a. -0.48
b. 0.00
c. 0.48
d. 0.96

Answer 1

The test statistic for comparing the population proportion of people in country A to country B is 0.00.

Step-by-step explanation:

To compare the population proportion of people in country A who would like to travel abroad to the proportion in country B, we can use the two-sample proportion test.

The test statistic can be calculated using the formula:

test statistic = (p1 - p2) / sqrt((p1(1-p1) / n1) + (p2(1-p2) / n2))

where p1 and p2 are the proportions in country A and country B, and n1 and n2 are the sample sizes in country A and country B.

Using the given information, the test statistic for this hypothesis test would be 0.00.