1. It has been observed that some persons who suffer renal failure, again suffer renal failure within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 55 people in the first group and this group will be administered the new drug. There are 75 people in the second group and this group will be administered a placebo. After one year, 10% of the first group has a second episode and 9% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.01, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode? Select the [Alternative Hypothesis, Value of the Test Statistic].

2. A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 643 said that they attended at least one class reunion. For the public university, 804 out of 1315 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant? (Use =0.05)

3. State the type of hypothesis test to be used in the following situation: A national computer retailer believes that the average sales are greater for salespersons with a college degree. A random sample of 34 salespersons with a degree had an average weekly sale of $3542 last year, while 37 salespersons without a college degree averaged $3301 in weekly sales. The standard deviations were $468 and $642 respectively. Is there evidence to support the retailer's belief?

4. State the type of hypothesis test to be used in the following situation: The community hospital is studying its distribution of patients. A random sample of 317 patients presently in the hospital gave the following information:

Type of Patient	Old Rate of Occurrences	Present Number of Occurrences
Maternity Ward	20%	65
Cardiac Ward	32%	100
Burn Ward	10%	29
Children's Ward	15%	48
All Other Wards	23%	75

Test the claim at the 5% significance level that the distribution of patients in these wards has not changed.

5. State the type of hypothesis test to be used in the following situation: Researchers hoped to determine whether time spent watching television is associated with cardiovascular fitness. Subjects were asked how many hours per day they watch television and were classified as physically fit if they scored in the excellent or very good category on a step test. The data obtained is as follows:

	Physically Fit	Not Physically Fit
0 hours	35	147
1-2 hours	101	629
3-4 hours	28	222
5 or more hours	4	34

Determine if the association the researchers were interested in exists or not.

6. In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the relationship between gender and participation in the last election. The results were:

	Men	Women
Voted	2799	3322
Didn't Vote	1499	2380

If we are testing for a relationship between gender and participation in the last election, what is the test statistic?