Question

In a​ one-way ANOVA, what does it mean to reject the statement in the null hypothesis if three treatment groups are being​ compared? Choose the correct answer below. A. Rejecting the statement in the null hypothesis means that there is insufficient evidence to conclude that the mean of one of the populations is different than the other two or that all three populations are different. B. Rejecting the statement in the null hypothesis means that there is sufficient evidence to conclude that the means of all three populations are different. C. Rejecting the statement in the null hypothesis means that there is sufficient evidence to conclude that the mean of one of the populations is different than the other two or that all three populations are different. D. Rejecting the statement in the null hypothesis means that one of the conditions for performing a​ one-way ANOVA was not met.

Answer 1

For one way ANOVA, the hypothesis is :

H0 : 1 = 2 = 3 vs

H1: At least one mean is not equal to that of other two or all three are different.

And here we are rejecting H0. That is we are supporting H1, that is at least one mean is not equal.

Hence the correct option is -

C. Rejecting the statement in the null hypothesis means that there is sufficient evidence to conclude that the mean of one of the populations is different than the other two or that all three populations are different.

Hope this will help you. Thank you :)