Question

You collect test scores on four members of a population which you can safely assume is approximately Normally distributed and test the hypotheses 0 : 100 : 100 H versus H µ µ = > a . You obtain a P-value of 0.052. Which of the following statements is true?

Answer 1

0.052 > 0.05, which means that there is not significant evidence that the population mean is less than a.

Explanation:

At the null hypothesis, we test if:

`H_0: \mu \geq a`

At the alternative hypothesis, we test if:

`H_1: \mu < a`

Standard significance level of 0.05:

If the p-value > 0.05: no significant evidence that the population mean is less than a.

p-value < 0.05: significant evidence that the population mean is less than a.

You obtain a P-value of 0.052. Which of the following statements is true?

0.052 > 0.05, which means that there is not significant evidence that the population mean is less than a.