Using the given values m = 80 and n = 80, along with the values previously calculated, p₁ = 0.575, p₂ = 0.225, p = 0.4, and 4 = 0.6, calculate the test statistic z, rounding the result to two decimal places. z = P₁-P₂ √ pa ( = + =) 0.575-21 0.225 V0.4(0.6) 4.52 Because we are testing Ha: P₁ P₂ # 0, we have two-tailed test. Recall that the P-value for a two-tailed test is 2 (Area under the standard normal curve to the right of |z1), or 2[1 - Þ(z))]. Use the value of z calculated above and refer to the table of standard normal curve areas to calculate the P-value rounded to four decimal places. P-value 2[1- (zl)] 23 = 21-0 = 2( 80 25 2 X x ) x )]
Using the given values m = 80 and n = 80, along with the values previously calculated, p₁ = 0.575, p₂ = 0.225, p = 0.4, and 4 = 0.6, calculate the test statistic z, rounding the result to two decimal places. z = P₁-P₂ √ pa ( = + =) 0.575-21 0.225 V0.4(0.6) 4.52 Because we are testing Ha: P₁ P₂ # 0, we have two-tailed test. Recall that the P-value for a two-tailed test is 2 (Area under the standard normal curve to the right of |z1), or 2[1 - Þ(z))]. Use the value of z calculated above and refer to the table of standard normal curve areas to calculate the P-value rounded to four decimal places. P-value 2[1- (zl)] 23 = 21-0 = 2( 80 25 2 X x ) x )]
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Using the given values m = 80 and n = 80, along with the values previously calculated, ₁ = 0.575, p₂ = 0.225, p = 0.4, and â = 0.6, calculate the test statistic z, rounding the result to two decimal
places.
Z =
P₁-P₂
| pâ( 1/2 + 1/ )
V
21
0.575 -
=
1
0.4(0.6) +
80
0.225
22 4.52
Because we are testing H₂: P₁ P₂ # 0, we have a two-tailed test. Recall that the P-value for a two-tailed test is 2. (Area under the standard normal curve to the right of Iz]), or 2[1 - (|z|)].
Use the value of z calculated above and refer to the table of standard normal curve areas to calculate the P-value rounded to four decimal places.
P-value = 2[1 -
(zl)]
23
]* )]
2 [1-0 (
ф
24
2(1
25 2
1
80
1
X
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58f5fb6c-b1a7-4e66-b9dc-713591087911%2Fae918e20-3a6a-4356-90a6-d2ef15e259a0%2F7u16t5q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Using the given values m = 80 and n = 80, along with the values previously calculated, ₁ = 0.575, p₂ = 0.225, p = 0.4, and â = 0.6, calculate the test statistic z, rounding the result to two decimal
places.
Z =
P₁-P₂
| pâ( 1/2 + 1/ )
V
21
0.575 -
=
1
0.4(0.6) +
80
0.225
22 4.52
Because we are testing H₂: P₁ P₂ # 0, we have a two-tailed test. Recall that the P-value for a two-tailed test is 2. (Area under the standard normal curve to the right of Iz]), or 2[1 - (|z|)].
Use the value of z calculated above and refer to the table of standard normal curve areas to calculate the P-value rounded to four decimal places.
P-value = 2[1 -
(zl)]
23
]* )]
2 [1-0 (
ф
24
2(1
25 2
1
80
1
X
X
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman