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Description of Chi-Square

A researcher selected a sample of 50 residents from each of three different cities to determine if they were willing to participate in a medical experiment. At a = .05, test the claim that the proportions who will participate are equal.

Residents City 1 City 2 City 3
Willing to participate 20 12 22
Not willing to participate 30 38 28
Total 50 50 50

A) There is not evidence to reject the claim that the proportions are equal because the test value 4.861 < 5.991
B) There is evidence to reject the claim that the proportions are equal because the test value 12.592 > 1.042
C) There is evidence to reject the claim that the proportions are equal because the test value 5.991 > .4861
D) There is evidence to reject the claim that the proportions are equal because the test value 5.991 > 1.042

Solution Preview

Please see the attached file.

Answer:
A)There is not evidence to reject the claim that the proportions are equal because the test value 4.861 < 5.991
(See calculation below)

Null Hypothesis: H0: Proportions willing to participate are equal
Alternative Hypothesis: H1: Proportions willing to participate are not equal

City 1 City 2 City 3 Total (RT)
Willing to participate observed frequency f0 20 12 22 54
expected ...

Solution Summary

This solution contains the answer to a multiple choice question on Chi-Square test. It uses the hypothesis testing steps to determine the Chi-square value in order to determine which answer is correct.

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