MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Hypothesis Testing for Adverse Reaction of Drug Used to Prevent Blood Clots**

In the context of a clinical trial to determine the adverse effects of a drug used to prevent blood clots, consider the following scenario: Among 6103 patients treated with this drug, 151 developed the adverse reaction of nausea. Using a significance level of 0.05, we aim to test the claim that 3% of users develop nausea. Here is the step-by-step process for conducting this hypothesis test:

**1. Identify the Null and Alternative Hypotheses:**
To test whether nausea is a problematic adverse reaction, we establish the null (\(H_0\)) and alternative hypotheses (\(H_1\)).

Select the correct hypothesis:
\(H_0: p = 0.03\) \
\(H_1: p \neq 0.03\) (Correct Answer)

**2. Calculate the Test Statistic:**
The test statistic for this hypothesis test is given as:
\[ z = -2.43 \]

(The value is rounded to two decimal places as needed.)

**3. Determine the P-value:**
To understand the significance of the test statistic, we calculate the P-value.
\[ \text{P-value} = \]

(The P-value needs to be rounded to three decimal places as needed.)

By comparing the P-value to the significance level (0.05), we can make a decision regarding the null hypothesis. If the P-value is less than 0.05, we reject the null hypothesis, indicating that the proportion of patients experiencing nausea significantly differs from 3%.

This step-by-step guide should assist you in testing the hypothesis and determining the adverse effects of the drug concerning nausea among patients.
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Transcribed Image Text:**Hypothesis Testing for Adverse Reaction of Drug Used to Prevent Blood Clots** In the context of a clinical trial to determine the adverse effects of a drug used to prevent blood clots, consider the following scenario: Among 6103 patients treated with this drug, 151 developed the adverse reaction of nausea. Using a significance level of 0.05, we aim to test the claim that 3% of users develop nausea. Here is the step-by-step process for conducting this hypothesis test: **1. Identify the Null and Alternative Hypotheses:** To test whether nausea is a problematic adverse reaction, we establish the null (\(H_0\)) and alternative hypotheses (\(H_1\)). Select the correct hypothesis: \(H_0: p = 0.03\) \ \(H_1: p \neq 0.03\) (Correct Answer) **2. Calculate the Test Statistic:** The test statistic for this hypothesis test is given as: \[ z = -2.43 \] (The value is rounded to two decimal places as needed.) **3. Determine the P-value:** To understand the significance of the test statistic, we calculate the P-value. \[ \text{P-value} = \] (The P-value needs to be rounded to three decimal places as needed.) By comparing the P-value to the significance level (0.05), we can make a decision regarding the null hypothesis. If the P-value is less than 0.05, we reject the null hypothesis, indicating that the proportion of patients experiencing nausea significantly differs from 3%. This step-by-step guide should assist you in testing the hypothesis and determining the adverse effects of the drug concerning nausea among patients.
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