For each of the scenarios listed below, select the appropriate test and write the null and alternative hypotheses to be used in the test. You DO NOT need to work out the actual test.

1.) compute a z-test for a proportion

2.) compute a z-test for difference of proportions

3.) compute a t-test for difference of means in independent samples

4.) compute a t-statistic for a difference of means in a paired sample

5.) compute a single sample t-test for mean

a.) You want to determine if one plant has a higher percentage of employees who file grievances than another plant. You have samples of 100 and 200 employees in the two plants.

b.) You give a pre-employment application to your applicants. You want to know if more than 60% of your male applicants will pass the exam. You draw a sample of 200 male applicants.

c.) You want to know if a training course was worth its cost. You have data on pre-training and post-training productivity for the sixty employees who took the course.

d.) You want to determine if there is a difference in the mean scores of the CMT math component obtained by fourth grade students in New Britain and Newington.