Recall the data obtained for a hypothesis test for the dr Sample 1 Sample 2 n = 200 n2 = 300 P1 = 0.25 P2 = 0.13 %3D This tyne of hynothesis test will use a z test statictic T

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
(a) Calculate the test statistic. What is the p-value?
Recall the data obtained for a hypothesis test for the difference in population proportions.
Sample 1
Sample 2
n, = 200
n2 =
= 300
P1
= 0.25
P2 = 0.13
This type of hypothesis test will use a z test statistic. The formula for this test statistic is given below. The sample proportions from populations 1 and 2 are given by p, and p,, and the sample sizes are given by n,
and n,, respectively. Note that p is the pooled estimator of the unknown population proportion and must be calculated before finding the test statistic.
P1 - P2
n1P1 + "2P2
ni + n2
z =
where
p =
1
+
n1
1
P(1 - P)
n2
Find the value of the pooled estimator for the population proportion, p.
n1P1 + n2P2
ni + n2
p =
200(0.25) + 300
200 + 300
Transcribed Image Text:(a) Calculate the test statistic. What is the p-value? Recall the data obtained for a hypothesis test for the difference in population proportions. Sample 1 Sample 2 n, = 200 n2 = = 300 P1 = 0.25 P2 = 0.13 This type of hypothesis test will use a z test statistic. The formula for this test statistic is given below. The sample proportions from populations 1 and 2 are given by p, and p,, and the sample sizes are given by n, and n,, respectively. Note that p is the pooled estimator of the unknown population proportion and must be calculated before finding the test statistic. P1 - P2 n1P1 + "2P2 ni + n2 z = where p = 1 + n1 1 P(1 - P) n2 Find the value of the pooled estimator for the population proportion, p. n1P1 + n2P2 ni + n2 p = 200(0.25) + 300 200 + 300
Consider the hypothesis test.
Ho: P1 - P2 < 0
Hai P1 - P2 > 0
The following results are for independent samples taken from the two populations.
Sample 1
Sample 2
n1
= 200
n2 = 300
P1
= 0.25
р, 3D 0.13
(a) Calculate the test statistic. What is the p-value?
(b) With a =
0.05, what is your hypothesis testing conclusion?
Transcribed Image Text:Consider the hypothesis test. Ho: P1 - P2 < 0 Hai P1 - P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n1 = 200 n2 = 300 P1 = 0.25 р, 3D 0.13 (a) Calculate the test statistic. What is the p-value? (b) With a = 0.05, what is your hypothesis testing conclusion?
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