In a chi-square test of proportion differences, we will reject the "all proportions are equal" null hypothesis if
A)the p-value for the chi-square statistic is greater than the significance level for the test.
B)the chi-square statistic is greater than 1.96
C)the chi-square statistic is less than the critical chi-square value.
D)the p-value indicates that a Type I error is not possible
E)the p-value for the chi-square statistic is less than the significance level for the test.

Question

Quizplus · Accepted Answer

The correct answer is E because in hypothesis testing, including chi-square tests of proportion differences, we reject the null hypothesis if the p-value associated with the test statistic is less than the predetermined significance level (alpha). This indicates that the observed data are highly unlikely under the null hypothesis, suggesting that at least one of the proportions is different.

In a Chi-Square Test of Proportion Differences, We Will Reject