Question

The Pawnee Rangers, a boys-only wilderness club, and the Pawnee Goddesses, a girls-only wilderness club, went on a joint weekend camping trip with their respective troop leaders Ron Swanson and Leslie Knope. Leslie claims that her club (the Pawnee Goddesses) is better than Ron’s club.  You may assume that the members who went on the camping trip are representative samples of their respective clubs. Please assume that “boy” and “girl” refer to each child’s self-identified  gender.

During the weekend trip, Leslie proposes that the two clubs have a fishing competition to see if her club is better. To measure club superiority, Leslie is interested in comparing the long-run  proportions of club members who can catch a fish within one hour. After fishing for one hour, each person caught at most one fish (either no fish or one fish). The results are shown in the two-way table below.

	Pawnee Rangers	Pawnee Goddesses	Total
Caught a fish	5	15	20
Did not catch a fish	13	17	30
Total	18	32	50

Define the following notation:

pR: the long-run proportion of Pawnee Rangers who can catch a fish within one hour

pG: the long-run proportion of Pawnee Goddesses who can catch a fish within one hour

Leslie used the two-sample z-test to compute a p-value of 0.0929, but Ron believes that Leslie's p-value is not valid. If all other things remain the same, how can Leslie fix the issue with her analysis?

Select one:

Ron is incorrect, all the conditions are satisfied for Leslie's analysis to be valid.

Increase the number of Pawnee Goddesses in the sample.

Increase the number of Pawnee Rangers in the sample.

Use the two-sample t-test instead of the z-test.

Answer 1