Testing if p1-p2 = 0.19, calculate the test statistic, z, where p^1 = 0.74 sampled from 75, and p^2 = 0.44 sampled from 82.
Testing if p1-p2 = 0.19, calculate the test statistic, z, where p^1 = 0.74 sampled from 75, and p^2 = 0.44 sampled from 82.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
Transcribed Image Text:**Hypothesis Testing for Proportions**
In this scenario, we are testing if the difference between two proportions, \( p_1 - p_2 \), is equal to 0.19. We need to calculate the test statistic \( z \).
**Given:**
- \( \hat{p_1} = 0.74 \) (Sample proportion 1), sampled from a sample size of 75.
- \( \hat{p_2} = 0.44 \) (Sample proportion 2), sampled from a sample size of 82.
**Objective:**
Calculate the test statistic \( z \) to determine whether the observed difference between the sample proportions is significantly different from the hypothesized difference of 0.19.
This involves using the formula for the test statistic for the difference between two population proportions. The standard error and other relevant calculations can be made to complete the test.
Note: Determine the test statistic by employing the formula for two-proportion z-test in statistical analysis.
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