Question

if chi-square is 7.91 and the critical value is 7.81, then the result is select , so you should select the null hypothesis.

Explanation:

Step1: Compare Chi-square and Critical Value

The Chi - square test statistic is \(7.91\) and the critical value is \(7.81\). Since \(7.91>7.81\), the test statistic is greater than the critical value.

Step2: Determine Decision on Null Hypothesis

In hypothesis testing with Chi - square, if the test statistic is greater than the critical value, we reject the null hypothesis. So the result is that we reject the null hypothesis.

Answer:

First [Select]: The Chi - square statistic (7.91) is greater than the critical value (7.81)
Second [Select]: reject