Question

The following data represent a sample of people's smoking habits and their usage of seat belts while in a car. A researcher wants to determine whether smoking habits and seat belt usage are related. Test the researcher's claim at the α=0.05 level of significance.

Not seat belt seat belt
Smoke 67 448
Di not smoke 327 2187

a. Determine the null and alternative hypotheses.
H0 : Smoking habits and seat belt usage are independent.
Ha : Smoking habits and seat belt usage are dependent.

H0 : Smoking habits and seat belt usage have the same distribution.
Ha : Smoking habits and seat belt usage follow a different distribution.

Answer 1

The null and alternative hypotheses for this test of independence are that smoking habits and seat belt usage are independent versus dependent. At the alpha level of significance, we compare the calculated p-value to the alpha value to make a decision.

Step-by-step explanation:

The null and alternative hypotheses for this test of independence are that smoking habits and seat belt usage are independent versus dependent. At the alpha level of significance, we compare the calculated p-value to the alpha value to make a decision.

The null and alternative hypotheses for this test of independence are:

H0 : Smoking habits and seat belt usage are independent

Ha : Smoking habits and seat belt usage are dependent

At the alpha level of significance (α=0.05), we compare the calculated p-value to the alpha value. If the p-value is less than alpha, we reject the null hypothesis. If the p-value is greater than alpha, we do not reject the null hypothesis.