Question

A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type and conduct an ANOVA test. After the calculation, the F statistic is 1.62 and the p-value is 0.26. What is a correct decision at significance level of 0.1?

Answer 1

Answer: Fail to reject H0

Explanation:

Given that:

P value = 0.26

α = 0.1

The values of both p and α can be compared in other to make a decision on whether to reject or fail to reject the Null hypothesis

Decisions :

If the p value > α (fail to reject null)

If p value < α ( Reject null)

In the scenario above :

0.26 > 0.1 ; p value > α

Since the p value is greater than alpha ; we fail to reject the Null