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A subscription service stated that preferences for different
national magazines were independent of geographical location.A
survey was taken in which 300 respondents randomly chosen from three
areas were given a choice among three different magazines.Each
person expressed his or her favorite.The following results were
obtained:

-If the appropriate null hypothesis for a chi-square test were not rejected, the following would be implied: 1-Subscription for magazine X = subscription for magazine Y = subscription for magazine Z. 2-The probability of magazine preference unconditional on location) is equal to the probability of magazine preference conditional on location). 3-Magazine preferences are uncorrelated with location.
A)1
B)2
C)3
D)2 and 3
E)1, 2, and 3

Question

Use the following information for questions 
A subscription service stated that preferences for different
national magazines were independent of geographical location.A
survey was taken in which 300 respondents randomly chosen from three
areas were given a choice among three different magazines.Each
person expressed his or her favorite.The following results were
obtained:
 
-If the appropriate null hypothesis for a chi-square test were not rejected, the following would be implied: 1-Subscription for magazine X = subscription for magazine Y = subscription for magazine Z. 2-The probability of magazine preference unconditional on location) is equal to the probability of magazine preference conditional on location). 3-Magazine preferences are uncorrelated with location.
A)1 
B)2 
C)3 
D)2 and 3 
E)1, 2, and 3

Quizplus · Accepted Answer

If the null hypothesis is not rejected, it means that there is no significant difference between the observed and expected frequencies. This implies that the probability of magazine preference is equal to the probability of magazine preference conditional on location, and that magazine preferences are uncorrelated with location.

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