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Your company is sued for job discrimination. Based on the hiring of 20 employees, the plaintiff argues that only 20% of the newly hired candidates were minorities, when 28% of all applicants were minorities. To prepare for the lawsuit you need to decide if this is strong evidence that your company's hiring practices are discriminatory.
Follow these questions:
-Would you use a one-tailed or two-tailed test? Why?
-What would a Type I error be? What would a Type II error be?
-If the hypothesis is tested at the 5% significance instead of 10%, how will the power of the test be affected?
-The lawsuit is based on the hiring of 20 employees out of 214 new hires over the past 5 years. If the plaintiff used a sample of 40 hires, will the probability of avoiding Type II error increase or decrease?
-Based on the analysis you did, what your next step should be?
You survey 40 workers at this company and obtain a correlation coefficient of .30 between these two variables. What is the effect size of this correlation?
A factory which produces chips in lots of ten thousand use the following scheme to check the quality of its product. From each lot of chips produced.
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Provide an example and state the Null and the Alternative hypothesis for the examples in symbolic form.
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Suggest some lurking variables that may help explain the association between smoking during pregnancy and children's later test scores. The association by itself is not good evidence that mothers' smoking causes lower scores.
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A sample of 23 European countries found that the variance of life expectancy was 7.3 years. What is the 95% confidence interval estimate for the variance of life expectancy in Europe?
With that being said what is the probability of getting a sample proportion this small or smaller? would she actually have 55% of the vote?
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