The results of a recent study regarding smoking and three types of illness

are shown in the following table.

We are interested in determining whether or not illness is independent of smoking.

AState the null and alternative hypotheses to be tested.
BDetermine the test statistic.
CThe null hypothesis is to be tested at the .01 level. Determine the critical

value for this test.

DWhat do you conclude?

Question 2: A lottery conducted involves the random selection of numbers from 0 to

  1. To make sure that the lottery is fair, a sample of 250 was taken. The following

results were obtained:

Value Frequency

0 40

1 45

2 55

3 60

4 50

AState the null and alternative hypotheses to be tested.
BCompute the test statistic.
CThe null hypothesis is to be tested at the 10% level of significance. Determine

the critical value from the table.

DWhat do you conclude about the fairness of this lottery?

Illness Non-Smokers Smokers Totals

Emphysema 50 150 200

Heart problem 50 150 200

Cancer 100 500 600

Totals 200 800 1000