Question

1. Which of the following is the conclusion that ought to be reached if the calculated value of the F statistic in an analysis of variance (ANOVA) fails to exceed the critical value?
   1. The null hypothesis should be accepted.
   2. There is not enough power to reveal the differences among the group means.
   3. The wrong test has been conducted and a different test would have found a statistically significant result.
   4. The null hypothesis of no differences among the group means cannot be rejecte

Answer 1

A calculated value of F statistic greater than the critical value, is equivalent to a p-value less than alpha, the level of significance; they mean that we have enough evidence to reject the null hypothesis.

So, if the F statistic in an ANOVA fails to exceed the critical value, it means that we do not have enough evidence to rejecct the null hypothesis.

So, the correct answer is option (d) The Null hypothesis of no differences among the group means cannot be rejected.