If the value of the sample mean 0 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 sample mean is close enough to the hypothesized population mean, we cannot reject the null hypothesis. This means that the hypothesized value of the population mean is a reasonable estimate based on the sample data. However, it does not mean that the value is definitely correct, as there is always some level of uncertainty in statistical inference. Similarly, it does not mean that the hypothesized value is definitely wrong. Therefore, the best choice is D, which acknowledges that we cannot reject the null hypothesis.

If the Value of the Sample Mean 0 μ\muμ

If the Value of the Sample Mean 0 $\mu$