Suppose 244 subjects are treated with a drug that is used to treat pain and 53 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20​% of users develop nausea. H0​:p=0.20 H1​:p>0.20   Identify the test statistic for this hypothesis test   Identify the​ P-value for this hypothesis test.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Suppose 244 subjects are treated with a drug that is used to treat pain and 53 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20​% of users develop nausea.

H0​:p=0.20
H1​:p>0.20
 
Identify the test statistic for this hypothesis test
 
Identify the​ P-value for this hypothesis test.
 
 
Expert Solution
Step 1

We have,

n= 244 = total number of subjects

x= 53 = the number of subjects developed nausea

p^ = proportion estimate 

     = x/ n  = 53 / 244

    = 0.2172

We want to test,

H0​:p=0.20
H1​:p>0.20
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