Testing: Ho:p = = 0.43 H1:p > 0.43 Your sample consists of 105 subjects, with 49 successes. Calculate the test statistic, rounded to 2 decimal places
Testing: Ho:p = = 0.43 H1:p > 0.43 Your sample consists of 105 subjects, with 49 successes. Calculate the test statistic, rounded to 2 decimal places
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 Problem Statement:**
**Testing:**
Null Hypothesis (H₀): \( p = 0.43 \)
Alternative Hypothesis (H₁): \( p > 0.43 \)
**Problem Context:**
You have a sample consisting of 105 subjects, with 49 successes. The task is to calculate the test statistic, rounded to two decimal places.
**Calculate the Test Statistic:**
\[ z = \text{(Your answer goes here)} \]
Utilize this information to determine the appropriate statistical outcome using the formula for the test statistic in hypothesis testing for a proportion:
\[ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0 (1-p_0)}{n}}} \]
Where:
- \( \hat{p} \) is the sample proportion of successes (49/105).
- \( p_0 \) is the hypothesized population proportion (0.43).
- \( n \) is the sample size (105).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64a644ea-8709-4726-8021-bb861b46b549%2Fb8fffbff-6d7e-4edf-94f7-9591f4ec3e85%2F41ih40t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing Problem Statement:**
**Testing:**
Null Hypothesis (H₀): \( p = 0.43 \)
Alternative Hypothesis (H₁): \( p > 0.43 \)
**Problem Context:**
You have a sample consisting of 105 subjects, with 49 successes. The task is to calculate the test statistic, rounded to two decimal places.
**Calculate the Test Statistic:**
\[ z = \text{(Your answer goes here)} \]
Utilize this information to determine the appropriate statistical outcome using the formula for the test statistic in hypothesis testing for a proportion:
\[ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0 (1-p_0)}{n}}} \]
Where:
- \( \hat{p} \) is the sample proportion of successes (49/105).
- \( p_0 \) is the hypothesized population proportion (0.43).
- \( n \) is the sample size (105).
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