MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 5776 patients treated with this drug, 154 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?
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
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is (Round to two decimal places as needed.)
Identify the P-value for this hypothesis test.
The P-value for this hypothesis test is (Round to three decimal places as needed.)
Identify the conclusion for this hypothesis test.
.
.
A. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that 3% of users develop nausea.
B. Reject H0. There is sufficient evidence to warrant rejection of the claim that 3% of users develop nausea.
C. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that 3% of users develop nausea.
D. Reject H0. There is not sufficient evidence to warrant rejection of the claim that 3% of users develop nausea.
Does nausea appear to be a problematic adverse reaction?
Since the rate of nausea appears to be relatively (1) it (2) a problematic adverse reaction.
(1) high, (2) is not low, is
Transcribed Image Text:**Educational Content on Hypothesis Testing**
**Context:**
Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 5776 patients treated with this drug, 154 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?
### Hypothesis Testing
1. **Identify the Null and Alternative Hypotheses:**
- **Option A (Correct Choice):**
- \(H_0: p = 0.03\)
- \(H_1: p \neq 0.03\)
- Option B:
- \(H_0: p = 0.03\)
- \(H_1: p < 0.03\)
- Option C:
- \(H_0: p = 0.03\)
- \(H_1: p > 0.03\)
- Option D:
- \(H_0: p \neq 0.03\)
- \(H_1: p = 0.03\)
2. **Calculate the Test Statistic:**
- The test statistic for this hypothesis test is __________.
- (Round to two decimal places as needed.)
3. **Determine the P-value:**
- The P-value for this hypothesis test is __________.
- (Round to three decimal places as needed.)
4. **Conclusion:**
- Option A:
- Fail to reject \(H_0\). There is sufficient evidence to warrant rejection of the claim that 3% of users develop nausea.
- Option B:
- Reject \(H_0\). There is sufficient evidence to warrant rejection of the claim that 3% of users develop nausea.
- Option C (Correct Choice):
- Fail to reject \(H_0\). There is not sufficient evidence to warrant rejection of the claim that 3% of users develop nausea.
- Option D:
- Reject \(H_0\). There is not sufficient evidence to warrant rejection of the claim that 3% of users develop nausea.
5. **Determine if Nausea is a Problematic Adverse Reaction:**
- Since the rate of nausea appears to be relatively:
- (1) __________, it (2) __________ a
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