samples from populations 1 and 2 produced 20 and 10 successes, respectively. Test Ho: (P₁-P₂) = 0 against Ha : (P₁ − P2) > 0. Use a = 0.01 (a) The test statistic is (b) The P-value is

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Independent random samples, each containing 60 observations, were selected from two populations. The 

**Statistical Test for Difference in Proportions**

We have samples from two populations where samples from populations 1 and 2 produced 20 and 10 successes, respectively. We are tasked with testing the hypothesis:

- Null Hypothesis (\(H_0\)): \( (p_1 - p_2) = 0 \)
- Alternative Hypothesis (\(H_a\)): \( (p_1 - p_2) > 0 \)

We will use a significance level of \( \alpha = 0.01 \).

**Questions:**

(a) The test statistic is [Input Box]

(b) The P-value is [Input Box]

This section is designed for educational purposes, intended to facilitate the understanding of hypothesis testing for differences in proportions. Adjust the values in the input boxes based on your computations.
Transcribed Image Text:**Statistical Test for Difference in Proportions** We have samples from two populations where samples from populations 1 and 2 produced 20 and 10 successes, respectively. We are tasked with testing the hypothesis: - Null Hypothesis (\(H_0\)): \( (p_1 - p_2) = 0 \) - Alternative Hypothesis (\(H_a\)): \( (p_1 - p_2) > 0 \) We will use a significance level of \( \alpha = 0.01 \). **Questions:** (a) The test statistic is [Input Box] (b) The P-value is [Input Box] This section is designed for educational purposes, intended to facilitate the understanding of hypothesis testing for differences in proportions. Adjust the values in the input boxes based on your computations.
Expert Solution
steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman