If we do not reject the null hypothesis, we conclude that:
A) there is not enough statistical evidence to infer that the alternative hypothesis is true
B) there is enough statistical evidence to infer that the alternative hypothesis is true
C) there is enough statistical evidence to infer that the null hypothesis is true
D) there is not enough statistical evidence to infer that the null hypothesis is true
E) the test is statistically insignificant at whatever level of significance the test was conducted at

Question

Quizplus · Accepted Answer

If we do not reject the null hypothesis, we cannot infer that the alternative hypothesis is true with enough statistical evidence. We could still try again with a larger sample size or different test, but for now we only know that we do not have enough evidence to reject the null hypothesis. Therefore, choice A is the best choice.

If We Do Not Reject the Null Hypothesis, We Conclude