Question

A factory manager selected a random sample of parts produced on an old assembly line and a random sample of parts produced on a new assembly line. The difference between the sample proportion of defective parts made on the old assembly line and the sample proportion of defective parts made on the new assembly line (old minus new) was 0. 6. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being the proportion of defective parts made on the old assembly line is greater than that of the new assembly line. The p-value of the test was 0. 18.

Answer 1

Considering the p-value of the test, it is found that there is not enough evidence to conclude that the proportion of defective parts made on the old assembly line is greater than that of the new assembly line.

What are the hypothesis tested?

At the null hypothesis, it is tested that the proportion of defective parts made on the old assembly line is not greater than that of the new assembly line, that is:

$H_0: p_O = p_N$

At the alternative hypothesis, it is tested if the proportion is greater, that is:

$H_1: p_O > p_N$

What is the decision?

The p-value is greater than the standard significance level of 0.05, hence we do not reject the null hypothesis, that is, there is not enough evidence to conclude that the proportion of defective parts made on the old assembly line is greater than that of the new assembly line.

More can be learned about an hypothesis test at https://brainly.com/question/16313918