The critical region is defined by the critical values

. The value of the statistic is 1.8. Would you reject or fail to reject the hypothesis?

1 answer

To determine whether to reject or fail to reject the null hypothesis based on the test statistic, we need to know the critical values corresponding to the significance level (alpha, α) of the test and the type of test being conducted (one-tailed or two-tailed).

  1. If the test is one-tailed, the critical value will be either a single value on one end of the distribution (e.g., \( z \) or \( t \) for a right-tailed or left-tailed test).
  2. If the test is two-tailed, there will be two critical values—one for each tail of the distribution.

Since you have provided only the value of the statistic (1.8) but not the critical values, we cannot definitively conclude whether to reject or fail to reject the null hypothesis.

If you can provide the critical values and the context of the hypothesis test (e.g., one-tailed vs two-tailed, significance level), I'd be happy to help you determine the appropriate conclusion!