Question

suppose 220 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea. use a 0.10 significance level to test the claim that more than 20% of users develop nausea.
identify the null and alternative hypotheses for this test. choose the correct answer below.
a. $h_{0}:p = 0.20$
$h_{1}:p
eq0.20$
b. $h_{0}:p>0.20$
$h_{1}:p = 0.20$
c. $h_{0}:p = 0.20$
$h_{1}:p>0.20$
d. $h_{0}:p = 0.20$
$h_{1}:p<0.20$

Explanation:

Step1: Understand the claim

The claim is that more than 20% of users develop nausea. In hypothesis testing, the null hypothesis \(H_0\) is a statement of equality. The alternative hypothesis \(H_1\) is the claim we are testing.

Step2: Set up the hypotheses

The null hypothesis \(H_0\) is \(p = 0.20\) (the proportion is 20%). The alternative hypothesis \(H_1\) is \(p>0.20\) (the proportion is more than 20%) since the claim is about more than 20% of users developing nausea.

Answer:

C. \(H_0: p = 0.20\), \(H_1: p>0.20\)