Question

It is claimed that in a bushel of peaches, fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective.

What is the alternate hypothesis for a one-sided test?


A. H1: π < 0.10


B. H1: π ≥ 0.10


C. H1: π ≤ 0.10


D. H1: π > 0.10

Answer 1

A) H1: π < 0.10

Explanation:

One tailed test:-

A test of any statistical hypothesis where the alternative hypothesis is one tailed ( right tailed or left tailed) is called a one - tailed test.

H1: μ < μ0 (left tailed test)

H1: μ > μ0 (right tailed test)

two tailed test:-

In a test of statistical hypothesis where the alternative hypothesis is two tailed , we assume that the null hypothesis

H0: μ = μ0 against the alternative hypothesis

H1: μ ≠ μ0

conclusion:-

given data It is claimed that in a bushel of peaches, fewer than 10% are defective so alternative hypothesis

H1: μ < 0.10