Question

State the conclusion of the test based on a p-value of 0.0009, if we use a 5% significance level.

a) Reject the null hypothesis

b) Fail to reject the null hypothesis

c) Insufficient information to conclude

d) Inconclusive result

Answer 1

At a 5% significance level, a p-value of 0.0009 leads to the conclusion to reject the null hypothesis because the p-value is lower than the significance level.

Step-by-step explanation:

The conclusion of the test based on a p-value of 0.0009, when using a 5% significance level, is to reject the null hypothesis. This decision is made because the p-value is less than the significance level (α = 0.05). When the p-value is smaller than the alpha level, it suggests that the observed data is highly unlikely under the null hypothesis, and therefore, we have sufficient evidence to reject it in favor of the alternative hypothesis.