Suppose234subjects are treated with a drug that is used to treat pain and55of them developed nausea. Use a0.01significance level to test the claim that more than20%of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. Identify the test statistic for this hypothesis test. Identify the​ P-value for this hypothesis test. Identify the conclusion for this hypothesis test.

Question
Asked Nov 12, 2019
Suppose
234
subjects are treated with a drug that is used to treat pain and
55
of them developed nausea. Use a
0.01
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.
 
Identify the test statistic for this hypothesis test.
 
Identify the​ P-value for this hypothesis test.
 
Identify the conclusion for this hypothesis test.
 
 
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Expert Answer

Step 1

Here, the claim of the test is that more than 20% of users develop nausea. This is representing in alternative hypothesis.

The test hypotheses are given below:

Null hypothesis: H p=0.2
Alternative hypothesis: H p02
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Null hypothesis: H p=0.2 Alternative hypothesis: H p02

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Step 2

The sample proportion is,

55
234
=0.23 5
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55 234 =0.23 5

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Step 3

The test statistic is obt...

Sample statistic
Null Parameter
SE
|p. (1- р.)
n
0.235 0.2
0.2(1-0.2)
234
= 1.34
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Sample statistic Null Parameter SE |p. (1- р.) n 0.235 0.2 0.2(1-0.2) 234 = 1.34

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Hypothesis Testing

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