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.
a. State the null and alternative hypotheses to be tested.
b. Determine the test statistic.
c. The null hypothesis is to be tested at the .01 level. Determine the critical
value for this test.
d. What do you conclude?
Question 2: A lottery conducted involves the random selection of numbers from 0 to
4. 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
a. State the null and alternative hypotheses to be tested.
b. Compute the test statistic.
c. The null hypothesis is to be tested at the 10% level of significance. Determine
the critical value from the table.
d. What 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