Question

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.
H0:pfish=0.26,pski=0.21,pboard=0.30,pswim=0.12,ptube=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?


n≥30

lowercase n is greater than or equal to 30
A

30≤n≤50

30 is less than or equal to lowercase n, which is less than or equal to 50
B

46≤n≤60

46 is less than or equal to lowercase n, which is less than or equal to 60
C

n≥46

lowercase n is greater than or equal to 46
D

n≤60

lowercase n is less than or equal to 60
E

Answer 1

Answer:

C

Explanation:

The minimum is 46 because you need to meet large counts (at least 5) but then you also have to remember the 10% condition.

Answer 2

Answer:

D: n≥46

Explanation:

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