In each of the following problems, a conclusion to a hypothesis test is presented. Determine whether each statement is permissible.
a. The value of the test statistic does not lie in the rejection region. Therefore, we accept the null hypothesis.
b. The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest the null hypothesis is not true.
c. The value of the test statistic does not lie in the rejection region. Therefore, there is evidence to suggest the null hypothesis is true.
d. The value of the test statistic lies in the nonrejection region. Therefore, there is no evidence to suggest the alternative hypothesis is true.
e. The value of the test statistic does not lie in the rejection region. Therefore, there is no evidence to suggest the alternative hypothesis is true. f. The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest the alternative hypothesis is true.