STATS applicants were immigrants s this strong evidence that the company\'s hiri
ID: 3315901 • Letter: S
Question
STATS
applicants were immigrants s this strong evidence that the company's hiring practices are dis minatory? Complete A company is sued or ob disc mination because only 20% o the new y hired candidates were immigrants when 35% o a parts a) through f) below. a) Is this a one-ailed or a two-tailed test? Why? A. This is a two-tailed test because the lawsuit only claims the company is discriminatory, not how they are discriminatory. O B. This is a one-tailed test because there is only one sample proportion. O C. This is a two-tailed test because all employees are either immigrants or not immigrants. O D. This is a one-tailed test because the company wouldn't be sued if "too many" immigrants were hired. b) In this context, what would a Type Ierror be? A. A Type I error is deciding the company is not discriminating when it is. B. A Type I error is deciding the company is discriminating when it is not. O C. A Type I error is deciding the company is not discriminating when, in fact, it is not. D. A Type I error is deciding the company is discriminating when, in fact, it is. O E. There is no Type I error in this context. c) In this context, what would a Type Il error be? A. A Type Il error is deciding the company is not discriminating when, in fact, it is not. B. A Type Il error is deciding the company is not discriminating when it is. in O C. A Type II error is deciding the company is discriminating when, in fact, it is. D. A Type II error is deciding the company is discriminating when it is not. A Type ll erroris deoiding the O E. There is no Type II error in this context. d) In this context, what is meant by the power of the test? A. The power of this test is the probability of incorrectly determining the company is not discriminatory. O B. The power of this test is the probability of correctly determining the company is not discriminatory. O C. The power of this test is the probability of incorrectly detecting nonexistent discrimination. D. The power of this test is the probability of correctly detecting actual discrimination. O E. There is no power of the test in this context. e) If the hypothesis is tested at the 10% level of significance instead of 1%, how will this affect the power of the test? A. The power of the test will increase because the level of significance decreased. O B. The power of the test will decrease because the level of significance decreased. O C. The power of the test will decrease because the level of significance increased. OD. The power of the test will increase because the level of significance increased. f) The lawsuit is based on the hiring of 53 employees. Is the power of the test higher than, lower than, or the same as it would be if it were based on 120 hires? A. The power of the test is lower because the sample size decreases. O B. The power of the test is higher because the sample size decreases. O C. The power of the test is the same regardless of the change in sample size.Explanation / Answer
a ) D ) This is a one-tailed test because the company would'nt be sued if " too many " immigrants were hired .
b ) B ) A Type-I error is deciding the comapny is discriminating when it is not .
c ) B ) A Type-II error is deciding the company is not discriminating when it is .
d ) D ) The power of the test is the probability of correctly detecting actual discrimination .
e ) D ) The power of the test will increase because the level of significance increased
f ) A ) The power of the test is lower because the sample size decreases .
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