14. A Chi-square test for goodness of fit is used to evaluate preferences among

Question

14. A Chi-square test for goodness of fit is used to evaluate preferences among 8 different designs for a new automobile. With a sample of n = 1000 the researcher obtained a Chi-square statistic of Chi2 = 20.81. What is the appropriate statistical decision for this outcome (assume p <.01)?

A. Reject the null hypothesis and conclude that there is a significant difference in preferences. B. Reject the null hypothesis and conclude that there is no significant difference in preferences. C. Fail to reject the null hypothesis and conclude that there is a significant difference in preferences. D. Fail to reject the null hypothesis and conclude that there is no significant difference in preferences.

Explanation / Answer

As Pvalue < 0.01, then this is a very small P value, so we reject Ho.

Hence,

A. Reject the null hypothesis and conclude that there is a significant difference in preferences. [ANSWER, A ]

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