Consider a drug that is used to help prevent blood clots in certain patients. In clinical​ trials, among 5797 patients treated with this​ drug, 151 developed the adverse reaction of nausea. Use a 0.10 significance level to test the claim that 3​% of users develop nausea. Does nausea appear to be a problematic adverse​ reaction?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Consider a drug that is used to help prevent blood clots in certain patients. In clinical​ trials, among
5797
patients treated with this​ drug,
151
developed the adverse reaction of nausea. Use a
0.10
significance level to test the claim that
3​%
of users develop nausea. Does nausea appear to be a problematic adverse​ reaction?
 
 
 

Question content area bottom

Part 1
Identify the null and alternative hypotheses for this test. Choose the correct answer below.
 
 
A.
H0​:
p≠0.03
H1​:
p=0.03
 
B.
H0​:
p=0.03
H1​:
p<0.03
 
C.
H0​:
p=0.03
H1​:
p>0.03
 
D.
H0​:
p=0.03
H1​:
p≠0.03
Your answer is correct.
Part 2
Identify the test statistic for this hypothesis test.
 
The test statistic for this hypothesis test is
negative 1.76−1.76.
​(Round to two decimal places as​ needed.)
Part 3
Identify the​ P-value for this hypothesis test.
 
The​ P-value for this hypothesis test is
enter your response here.
​(Round to three decimal places as​ needed.) 
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