If the value of the sample mean $\bar { x }$ is close enough to the hypothesised value of the population mean $\mu$ , then:
A) the hypothesised value is definitely true.
B) the hypothesised value is definitely false.
C) we reject the null hypothesis.
D) we don't reject the null hypothesis.

Question

Quizplus · Accepted Answer

If the sample mean is close enough to the hypothesised value, then we don't have enough evidence to reject the null hypothesis. This doesn't mean that the hypothesised value is definitely true, but it does mean that we cannot reject the idea that it could be true. Therefore, we choose D.

If the Value of the Sample Mean xˉ\bar { x }xˉ

If the Value of the Sample Mean $\bar { x }$