Chapter 9.1, Problem 1E

To determine

To Explain: the state appropriate hypothesis for performing a significance test.

Answer to Problem 1E

  $H_0:p=75\%=0.75$

  $H_a:p<0.75$

Explanation of Solution

Given:

Claim is proportion is less than 75%.

The null hypothesis statement is that the population is equal to the value mentioned in the claim:

  $H_0:p=75\%=0.75$

The claim is either the null hypothesis or the alternative hypothesis. The null hypothesis statement is that the population proportion is equal to the value given in the claim. If the null hypothesis is the claim, then the alternative hypothesis statement is the opposite of the null hypothesis.

  $H_a:p<0.75$