After being rejected for employment, Appa Love learns that the Old West Credit Company has hired only 6 women among the last 20 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of hiring 6 or fewer women when 20 people are hired, assuming that there is no discrimination based on gender. That is, address the claim that the proportion of females hired is 50%. Use the sample data stated above. The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:μ≤0.5H0:μ≤0.5H1:μ>0.5H1:μ>0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ≥0.5H0:μ≥0.5H1:μ<0.5H1:μ<0.5 The p-value is: (to 4 decimals) Because this is a serious claim, we will use a stricter cutoff value for unusual events. We will use 1% as the cutoff value (1 in 100 chance of happening by chance). Based on this we: Fail to reject the null hypothesis Reject the null hypothesis With this significance level of 1% in mind, does the resulting p-value really support a charge of gender discrimination? Explain your conclusion. Include a sketch of your p-value and significance level, or submit the sketch to your instructor or test proctor.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

After being rejected for employment, Appa Love learns that the Old West Credit Company has hired only 6 women among the last 20 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of hiring 6 or fewer women when 20 people are hired, assuming that there is no discrimination based on gender. That is, address the claim that the proportion of females hired is 50%. Use the sample data stated above.

The null and alternative hypothesis would be:

H0:μ=0.5H0:μ=0.5
H1:μ≠0.5H1:μ≠0.5

H0:p=0.5H0:p=0.5
H1:p>0.5H1:p>0.5

H0:p=0.5H0:p=0.5
H1:p<0.5H1:p<0.5

H0:μ≤0.5H0:μ≤0.5
H1:μ>0.5H1:μ>0.5

H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5

H0:μ≥0.5H0:μ≥0.5
H1:μ<0.5H1:μ<0.5
The p-value is: (to 4 decimals)

Because this is a serious claim, we will use a stricter cutoff value for unusual events. We will use 1% as the cutoff value (1 in 100 chance of happening by chance).

Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis

With this significance level of 1% in mind, does the resulting p-value really support a charge of gender discrimination?

Explain your conclusion. Include a sketch of your p-value and significance level, or submit the sketch to your instructor or test proctor.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions