Question

A company claims that 9% of the items produced on a new machine are defective.
The factory will get rid of the machine if the data indicates that the proportion of defective items is more than 9%.
They take a random sample of 300 items and 50 are defective.
What null hypothesis is appropriate?

Answer 1

Considering the situation described, the appropriate null hypothesis is given by:

$H_0: p = 0.09$

What are the hypothesis tested?

At the null hypothesis, it is tested if the proportion is the expected one, that is, of 9%, hence:

$H_0: p = 0.09$

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the proportion is above 9%, hence:

$H_1: p > 0.1$.

More can be learned about an hypothesis test at https://brainly.com/question/26454209

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