6
QuizMultiple Choice

Chi-Square Test for Homogeneity — Quiz

Question 6 • Statistics

The conditions for inference are met. The chi-square test statistic is 0 point 1 9 and df is equal to 2 What is the appropriate decision using alpha is equal to 0 point 0 5 ? Use the chi-square table.

Answer
A
Because the cap p -value is less than alpha is equal to 0 point 0 5 , the null hypothesis should be rejected.
B
Because the cap p -value is less than alpha is equal to 0 point 0 5 , the null hypothesis should not be rejected.
C
Because the cap p -value is greater than alpha is equal to 0 point 0 5 , the null hypothesis should not be rejected.
D
Because the cap p -value is greater than alpha is equal to 0 point 0 5 , the null hypothesis should be rejected.

Explanation

For a chi-square statistic of 0.19 with 2 degrees of freedom, the chi-square table shows a p-value greater than 0.05 (it is roughly 0.91). Since this p-value is greater than α = 0.05, there is not enough evidence to reject the null hypothesis. The appropriate decision is not to reject the null hypothesis.

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