Question

A busy traffic intersection in a city was experiencing an average of 20 accidents per week. The council decided to try to reduce the number of accidents by placing a stop sign at the intersection. In this situation, what is:

a. the null hypothesis
b. the alternative hypothesis

Answer 1

Null hypothesis; H0: μ1 = μ2

Alternative hypothesis; Ha: μ1 > μ2

Explanation:

We are told that the telraffic was experiencing an average of 20 accidents per week.

Thus, μ = 20

We are told that the council decided to try to reduce the number of accidents.

Thus defining the hypothesis, we have;

Null hypothesis; H0: μ1 = μ2

Alternative hypothesis; Ha: μ1 > μ2