find a test statistics and the P value

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Can you help me find a test statistics and the P value
Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 6211 patients treated with this drug, 158 developed the adverse
reaction of nausea. Use a 0.01 significance level to test the claim that 3% of users develop nausea. Does nausea appear to be a problematic adverse reaction?
O A. Ho: p+0.03
H,: p=0.03
B. Ho p=0.03
H,: p#0.03
O C. Ho: p= 0.03
H,: p<0.03
O D. Ho p=0.03
H,: p>0.03
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is.
(Round to two decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
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Transcribed Image Text:Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 6211 patients treated with this drug, 158 developed the adverse reaction of nausea. Use a 0.01 significance level to test the claim that 3% of users develop nausea. Does nausea appear to be a problematic adverse reaction? O A. Ho: p+0.03 H,: p=0.03 B. Ho p=0.03 H,: p#0.03 O C. Ho: p= 0.03 H,: p<0.03 O D. Ho p=0.03 H,: p>0.03 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is. (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. parts remaining Clear All Check Answer
Expert Solution
Step 1

The sample proportion is,

p^=xn=1586211=0.0254

The sample proportion is 0.02544.

The test statistic is,

z=p^-pp1-pn=0.02544-0.030.031-0.036211=-0.004560.002164=-2.11

Thus, the test statistic is -2.11.

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