If the value of the sample mean $\bar { x }$ is close enough to the hypothesized value $\mu$₀ of the population mean$\mu$,then: A) the value of$\mu$₀ is definitely correct. B) the value of $\mu$₀ is definitely wrong. C) we reject the null hypothesis. D) we cannot reject the null hypothesis.

Question

Quizplus · Accepted Answer

If the value of the sample mean is close enough to the hypothesized value of the population mean, we cannot reject the null hypothesis. This means that we do not have enough evidence to conclude that the hypothesized value is incorrect. However, we cannot say that the hypothesized value is definitely correct as there is always some level of uncertainty in statistical inference.

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

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