d We fail to reject the null hypothesis our group means are

       d) We fail to reject the null hypothesis; our group means are significantly different from one another.

Solution

Null hypothesis is always a hypothesis of no difference which means that there is no significant difference between the groups.

Alternative hypothesis: there is significant difference between the groups.

If we fail to reject the null hypothesis, this means that we are accepting the null hypothesis which implies that there is no significant difference between the groups.

So the statement mentioned is incorrect or false.