When the null hypothesis is rejected

Question

A) it is unlikely that the difference is a result of chance

B) the research hypothesis is proven to be false

C) the population means are equal

D) the t value in the table is greater than the obtained t value

Answer 1

Hello, thank you for taking the time to post your question!

Out of this list of choices I think that your best option is going to be answer choice (a) it is unlikely that the difference is a result of chance.

The main idea here is that when you reject the null hypothesis it means that the observed difference is so large that it is statistically improbably to have occurred by random chance alone. Basically there is enough evidence to think that the difference is real and not just a fluke.

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Your null hypothesis always suggests equality and that any differences detected are simply due to chance. So a rejection of the null will be suggesting just the opposite, that observed differences are most likely not due to chance.

 

answer: A