Question

Because library books are read many times, glue is often applied to the spine of a book to keep the pages tight. A glue is considered successful if a book lasts at least 6 months before needing to be reglued. Two brands of glue, g and k, were tested to determine whether there was a difference in the proportion of books lasting at least 6 months. Let pg represent the proportion of books lasting at least 6 months when glued with g, and let pk represent the proportion of books lasting at least 6 months when glued with k. The following hypothesis test was conducted at the significance level of α=0. 1. H0:pg=pkha:pg≠pk all conditions for inference were met, and the resulting p-value was 0. 6. Which of the following is the correct decision for the test?.

Answer 1

Considering the p-value of 0.6, the decision is that we do not reject the null hypothesis.

What are the hypothesis tested?

At the null hypothesis, we test if the proportions are equal, that is:

$H_0: p_g = p_k$

At the alternative hypothesis, we test if they are different, that is:

$H_1: p_g \neq p_k$

What is the decision rule?

• If the p-value is greater than the significance level, we do not reject the null hypothesis.

• If the p-value is less than the significance level, we reject the null hypothesis.

In this problem, the significance level is of 0.1, while the p-value is of 0.6, hence the correct decision for the test is to not reject the null hypothesis.

More can be learned about p-values and hypothesis tests at https://brainly.com/question/16313918