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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? (A) n ≥ 30 (B) 30 ≤ n ≤ 50 (C) 46 ≤ n ≤ 60 (D) n > 46 (E) n≤ 60

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? (A) n ≥ 30 (B) 30 ≤ n ≤ 50 (C) 46 ≤ n ≤ 60 (D) n > 46 (E) n≤ 60

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Why is it that the correct answer is C? How to get the right solution? Thanks!

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. = 0.30, Pswim = 0.12, Ptube = 0.11 Ho Pfish = 0.26, Pski = 0.21, Pboard 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? (A) n > 30 (B) 30 ≤ n ≤ 50 (C) 46 ≤ n ≤ 60 (D) n ≥ 46 (E) n≤ 60
Transcribed Image Text: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. = 0.30, Pswim = 0.12, Ptube = 0.11 Ho Pfish = 0.26, Pski = 0.21, Pboard 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? (A) n > 30 (B) 30 ≤ n ≤ 50 (C) 46 ≤ n ≤ 60 (D) n ≥ 46 (E) n≤ 60
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