Question

it is claimed that in a bushel of peaches less than ten percent are defective. a sample of 400 peaches is examined and 50 are found to be defective. what is the null hypothesis?

Answer 1

The null hypothesis for the claim that less than ten percent of a bushel of peaches are defective, based on a sample finding 50 defective out of 400, is H0: p ≤ 0.10.

Step-by-step explanation:

In hypothesis testing, the null hypothesis is a statement that there is no effect or no difference, and it is the hypothesis that researchers aim to test against an alternative hypothesis. When a claim is made that less than ten percent of a bushel of peaches are defective, and a sample finds 50 defective out of 400, the null hypothesis (denoted as H0) would be that the proportion of defective peaches in the population is indeed less than or equal to the claimed percentage. Therefore, the null hypothesis for this scenario would be H0: p ≤ 0.10, where p represents the proportion of defective peaches.