A company is criticized because only 14 of 42 executives at a local branch are women. The company explains that although this proportion is lower than it might​ wish, it's not a surprising value given that only 40​% of all its employees are women. The company has more than 500 executives worldwide. Test an appropriate hypothesis and state the conclusion.   A) Determine the hypotheses for this test.​ (The proportion of female executives in the entire company is denoted by​ p.)   B) Calculate the test statistic.   z= ​(Round to two decimal places as​ needed.) Part 3 Find the​ P-value.   ​P-value= ​(Round to three decimal places as​ needed.) Part 4 State the conclusion of the test. Choose the correct answer below.     A. Because the​ P-value is​ low, fail to reject H0. These data show that the proportion of women executives in the company is less than the 40​% of women in the company in general.   B. Because the​ P-value is​ low, reject H0. These data show that the proportion of women executives in the company is less than the 40​% of women in the company in general.   C. Because the​ P-value is​ high, reject H0. These data do not show that the proportion of women executives in the company is less than the 40​% of women in the company in general.   D.Because the​ P-value is​ high, fail to reject H0. These data do not show that the proportion of women executives in the company is less than the 40​% of women in the company in general.

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 company is criticized because only 14 of 42 executives at a local branch are women. The company explains that although this proportion is lower than it might​ wish, it's not a surprising value given that only 40​% of all its employees are women. The company has more than 500 executives worldwide. Test an appropriate hypothesis and state the conclusion.
 
A) Determine the hypotheses for this test.​ (The proportion of female executives in the entire company is denoted by​ p.)
 
B) Calculate the test statistic.
 
z=
​(Round to two decimal places as​ needed.)
Part 3
Find the​ P-value.
 
​P-value=
​(Round to three decimal places as​ needed.)
Part 4
State the conclusion of the test. Choose the correct answer below.
 
 
A. Because the​ P-value is​ low, fail to reject
H0. These data show that the proportion of women executives in the company is less than the
40​% of women in the company in general.
 
B. Because the​ P-value is​ low, reject
H0. These data show that the proportion of women executives in the company is less than the
40​% of women in the company in general.
 
C. Because the​ P-value is​ high, reject
H0. These data do not show that the proportion of women executives in the company is less than the
40​% of women in the company in general.
 
D.Because the​ P-value is​ high, fail to reject H0.
These data do not show that the proportion of women executives in the company is less than the
40​% of women in the company in general.
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