A company is sued for job discrimination because only 5 % of the newly hired can
ID: 3058438 • Letter: A
Question
A company is sued for job discrimination because only 5 % of the newly hired candidates were minorities when 31 % of all applicants were minorities. Is this strong evidence that the company's hiring practices are discriminatory? Complete parts a) through c) below.
a) Is this a one-tailed or a two-tailed test? Why?
A.
This is a one-tailed test because there is only one sample proportion.
B.
This is a two-tailed test because all employees are either minorities or not minorities.
C.
This is a one-tailed test because the company wouldn't be sued if "too many" minoritie were hired.
D.
This is a two-tailed test because the lawsuit only claims the company is discriminatory, not how they are discriminatory.
b) In this context, what would a Type I error be?
A. A Type I error is deciding the company is not discriminating when, in fact, it is not.
B. A Type I error is deciding the company is discriminating when it is not.
C.A Type I error is deciding the company is not discriminating when it is.
D. A Type I error is deciding the company is discriminating when, in fact, it is.
E. There is no Type I error in this context.
c) In this context, what would a Type II error be?
A.A Type II error is deciding the company is discriminating when, in fact, it is.
B. A Type II error is deciding the company is discriminating when it is not.
C. A Type II error is deciding the company is not discriminating when, in fact, it is not.
D. A Type II error is deciding the company is not discriminating when it is.
E. There is no Type II error in this context.
Explanation / Answer
A company is sued for job discrimination because only 5 % of the newly hired candidates were minorities when 31 % of all applicants were minorities. Is this strong evidence that the company's hiring practices are discriminatory? Complete parts a) through c) below.
a) Is this a one-tailed or a two-tailed test? Why?
A.
This is a one-tailed test because there is only one sample proportion.
B.
This is a two-tailed test because all employees are either minorities or not minorities.
C.
This is a one-tailed test because the company wouldn't be sued if "too many" minoritie were hired.
D.
This is a two-tailed test because the lawsuit only claims the company is discriminatory, not how they are discriminatory.
b) In this context, what would a Type I error be?
A. A Type I error is deciding the company is not discriminating when, in fact, it is not.
B. A Type I error is deciding the company is discriminating when it is not.
C.A Type I error is deciding the company is not discriminating when it is.
D. A Type I error is deciding the company is discriminating when, in fact, it is.
E. There is no Type I error in this context.
c) In this context, what would a Type II error be?
A.A Type II error is deciding the company is discriminating when, in fact, it is.
B. A Type II error is deciding the company is discriminating when it is not.
C. A Type II error is deciding the company is not discriminating when, in fact, it is not.
D. A Type II error is deciding the company is not discriminating when it is.
E. There is no Type II error in this context.