The records of the state Division of Motor Vehicles reveals that 23% of all drivers have been ticketed at least once. Twenty five percent of a random sample of older drivers in the state have gotten at least one ticket. This difference has been tested and the researcher has failed to reject the null hypothesis. What can be concluded?

a. Older drivers are better drivers.

b. Older drivers are significantly different from drivers in general.

c. There is no significant difference between older drivers and drivers in general in terms of number of tickets.

d. Older drivers are worse drivers.

c)

Explanation:

In statistics, a null hypothesis refers to the hypothesis that will actually be tested. In other words, a null hypothesis A null hypothesis is a statement in which there is no relationship between two variables and it means that there is no actual effect between those two variables. This hypothesis is what the researcher tries to disprove.

In this example. the records show that 23% of all drivers have been ticketed at least once. 25% of a random sample of older drivers have gotten at least one ticket.

The researcher has tested this difference (since according to data, older drivers have been getting more tickets, this would be the variable he would be testing: if older drivers do in fact get more tickets). His null hypothesis would be H₀ = there is a relation between age of the drivers and the tickets gotten).

The researcher could not reject this null hypothesis (so he cannot conclude that there is a relation between these variables) and therefore he would have concluded that there is no relation between age of the drivers and the tickets gotten.

Thus, the correct answer would be c) There is no significant difference between older drivers and drivers in general in terms of number of tickets.