1)Two types of medication for hives are being tested to determine if there is a difference in the proportions of adult patient reactions.Seventeenout of a random sample of 200 adults given medication A still had hives 30 minutes after taking the medication. Fifteenout of another random sample of 200 adults given medication B still had hives 30 minutes after taking the medication. Test at a 1% level of significance.

2)A study is done to determine if Company A retains its workers longer than Company B. It is believed that Company A has a higher retention than Company B. The study finds that in a sample of 11 workers at Company A their average time with the company is four years with a standard deviation of 1.5 years. A sample of 9 workers at Company B finds that the average time with the company was 3.5 years with a standard deviation of 1.25 year. Test this proposition at the 1% level of significance. Assume that the populations are normally distributed and that population variances are not equal.