A private lake sells boating memberships and currently has 600 members. During the application process
the potential members are asked which recreational activity they do the most. Their choices are fishing,
skiing, boarding, swimming, or tubing. The lake manager chooses clients according to their interests to
maximize the use of all areas of the lake. Every month, the lake rangers randomly sample the boats on the
lake and categorize them according to the activity they are doing. The lake manager performs a chi-square
goodness-of-fit test using the following null hypothesis to see whether their samples differ significantly from
what the original applications claim.
= 0.26, Paki = 0.21, Pboard
0.11
In order to meet the conditions for independence and large counts for a chi-square goodness-of-fit test,
which of the following represents all possible sizes of the monthly samples?
H : Pfish
0.30, Pswim
0.12, Ptube
А
n 30
B
30 46 D
n 46
E
n = 60