Suppose 227 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. $$ H_{0}: p=0.20 $$ $$ H_{1}: p0.20 $$ B. $$ H_{0}: p0.20 $$ $$ H_{1}: p=0.20 $$ C. $$ H_{0}: p=0.20 $$ $$ H_{1}: p

Question

Suppose 227 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. $$ H_{0}: p=0.20 $$ $$ H_{1}: p>0.20 $$ B. $$ H_{0}: p>0.20 $$ $$ H_{1}: p=0.20 $$ C. $$ H_{0}: p=0.20 $$ $$ H_{1}: p<0.20 $$ D. $$ H_{0}: p=0.20 $$ $$ H_{1}: p 
eq 0.20 $$

UpStudy AI · Accepted Answer

We start by defining the proportion of subjects who develop nausea as $$ p $$.

**Step 1: State the claim.**  
The claim is that more than $$ 20\% $$ (i.e., $$ p > 0.20 $$) of users develop nausea.

**Step 2: Formulate the hypotheses.**  
- The null hypothesis $$ H_0 $$ represents the status quo or the value without effect, so we set  
  $$
  H_0: p = 0.20
  $$
- The alternative hypothesis $$ H_1 $$ reflects the claim we are testing, which is that more than $$ 20\% $$ develop nausea:  
  $$
  H_1: p > 0.20
  $$

Thus, the correct answer is:

A. $$ H_0: p = 0.20 $$  
    $$ H_1: p > 0.20 $$
The null hypothesis $$ H_0 $$ is $$ p = 0.20 $$ and the alternative hypothesis $$ H_1 $$ is $$ p > 0.20 $$.

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