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MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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**Hypothesis Testing for Adverse Reactions in Clinical Trials**

**Objective**: Evaluate whether nausea is a problematic adverse reaction for a drug used to prevent blood clots, using a 0.10 significance level.

**Scenario**: In clinical trials, 5942 patients took the drug. Among them, 156 developed nausea. We will test the claim that 3% of users develop nausea.

**Hypotheses**:
- **Option A**:
- \( H_0: p \neq 0.03 \)
- \( H_1: p = 0.03 \)
- **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**:
- \( H_0: p = 0.03 \)
- \( H_1: p \neq 0.03 \)

**Procedure**:

1. **Test Statistic**:
- Calculate the test statistic for the hypothesis test.
- The test statistic value is to be calculated and rounded to two decimal places.

2. **P-value**:
- Determine the P-value for the hypothesis test.
- The P-value should be rounded to three decimal places.

3. **Conclusion**:
- Use the calculated P-value to determine whether to reject or fail to reject the null hypothesis \( H_0 \) at the 0.10 significance level.

**Possible Conclusions**:
- **Option A**: Reject \( H_0 \). Insufficient evidence to reject the claim that 3% develop nausea.
- **Option B**: Fail to reject \( H_0 \). Sufficient evidence to support the claim that 3% develop nausea.
- **Option C**: Fail to reject \( H_0 \). Insufficient evidence to reject the claim that 3% develop nausea.
- **Option D**: Reject \( H_0 \). Sufficient evidence to support the claim that 3% develop nausea.

**Note**: Selecting the appropriate hypothesis and conclusion requires computation of the test statistic and P-value, which inform the final decision in this analysis.

**Does nausea appear to be a problematic adverse reaction?**

Since the rate of nausea appears to be relatively [dropdown menu] it [dropdown menu] a problematic adverse reaction.

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