Confidence Intervals for p1-p2 A study is conducted to determine whether there is a significant difference in union membership based on sex of the person. In a random sample of 4000 male factory-employees, 588 said they are union members. A random sample of 2000 female factory-employees found 180 who were union members. a.) Set up a 99% confidence interval for the difference in the true proportion of male and female factory employees who are union members. b.) Regardless of what your actual interval above may be, suppose the endpoints of the 99% interval are (.045, .085). Based on these values, would conclude, at a=0.01, that there is a difference in the proportion of male and female union factory employees or that there is no difference in the proportion of male and female union factory employees? Justify your answer.
Confidence Intervals for p1-p2
A study is conducted to determine whether there is a significant difference in union membership based on sex of the person. In a random sample of 4000 male factory-employees, 588 said they are union members. A random sample of 2000 female factory-employees found 180 who were union members.
a.) Set up a 99% confidence interval for the difference in the true proportion of male and female factory employees who are union members.
b.) Regardless of what your actual interval above may be, suppose the endpoints of the 99% interval are (.045, .085). Based on these values, would conclude, at a=0.01, that there is a difference in the proportion of male and female union factory employees or that there is no difference in the proportion of male and female union factory employees? Justify your answer.
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