Consider the hypothesis test. Ho: P1-P₂ ≤0 Ha: P₁ P₂ > 0 The following results are for independent samples taken from the two populations. Sample 1 n₁ = 200 P₁ = 0.22 Sample 2 n₂ = 300 P₂ = 0.16 (a) Calculate the test statistic. (Round your answer to two 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
icon
Related questions
Question
Consider the hypothesis test.
Ho: P1-P₂ ≤0
Ha: P₁-P₂ > 0
The following results are for independent samples taken from the two populations.
Sample 1 Sample 2
n₁ = 200
P₁
7₂
= 0.22
P2
(a) Calculate the test statistic. (Round your answer to two decimal places.)
= 300
=
0.16
What is the p-value? (Round your answer to four decimal places.)
p-value =
(b) With a = 0.05, what is your hypothesis testing conclusion?
O Do not reject Ho. There is insufficient evidence to conclude that p₁ - P₂ > 0.
Do not Reject Ho. There is sufficient evidence to conclude that p₁ - P₂ > 0.
Reject Ho. There is sufficient evidence to conclude that p₁ - P₂ > 0.
Reject Ho. There is insufficient evidence to conclude that P₁ - P₂ > 0.
Transcribed Image Text:Consider the hypothesis test. Ho: P1-P₂ ≤0 Ha: P₁-P₂ > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n₁ = 200 P₁ 7₂ = 0.22 P2 (a) Calculate the test statistic. (Round your answer to two decimal places.) = 300 = 0.16 What is the p-value? (Round your answer to four decimal places.) p-value = (b) With a = 0.05, what is your hypothesis testing conclusion? O Do not reject Ho. There is insufficient evidence to conclude that p₁ - P₂ > 0. Do not Reject Ho. There is sufficient evidence to conclude that p₁ - P₂ > 0. Reject Ho. There is sufficient evidence to conclude that p₁ - P₂ > 0. Reject Ho. There is insufficient evidence to conclude that P₁ - P₂ > 0.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE 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