The critical region is defined by the critical value -2.33. The test statistic value is -1.7. Would you reject or fail to reject the hypothesis?

Question

[ Select ]

Answer 1

To determine whether to reject or fail to reject the null hypothesis based on the critical region and test statistic, you can follow these steps:

1. Identify the critical value: The critical value provided is -2.33. This indicates the threshold beyond which we would reject the null hypothesis.

2. Compare the test statistic: The test statistic given is -1.7.

3. Decision rule:

   • If the test statistic is less than or equal to the critical value (i.e., more extreme), you reject the null hypothesis.
   • If the test statistic is greater than the critical value (i.e., less extreme), you fail to reject the null hypothesis.

In this case:

• Since -1.7 is greater than -2.33, we fail to reject the null hypothesis.

Answer: Fail to reject the hypothesis.