Use the given statement to represent a claim. Write its complement and state which is H_{0} and which is H_{a}.

p < 0.75

**Solution:-**

Begin by finding the complement of the claim. The complement of a claim is the statement that must be true when the claim is false.

The complement of p < 0.75 is p ≥ 0.75.

The null hypothesis H_{0} is a statement hypothesis that contains a statement of equality, such as ≤ , =, or ≥.

The alternative hypothesis H_{a} is the complement of the null hypothesis. It is a statement that must be true if H_{0} is false, and it contain a statement of strict inequality, such as > , ≠, ot <.

The null hypothesis is H_{0}: p ≥ 0.75 because the null hypothesis must contain a statement of equality.

The alternative hypothesis is H_{a} : p < 0.75 because alternative hypothesis must contain a statement of strict inequality.

Therefore, the null and alternative hypothesis are shown below.

H_{0} : p ≥ 0.75

H_{a}: p < 0.75