Question

A social researcher daims that the average adult listens to the radio more than 20 hours per week. He collects data on 35 individuals radio listening habits and finds that the mean number of hours spent listening to the radio weekly is 21.4 hours and the sample standard deviation is four ( 9 ) hours. In testing the researcher s claim. What is the appropriate test statistic?

a-rotest.
b-trest
c-chissuared
d-None of the above

Answer 1

The appropriate test statistic for the social researcher's claim about radio listening habits is the t-test. This is because the sample size is less than 30 and the population standard deviation is assumed to be unknown. T-tests are used for comparing sample means to known population means in such conditions.

Step-by-step explanation:

The appropriate test statistic for testing the social researcher's claim about average adult radio listening hours is the t-test. This is because the sample size is small (< 30), and we assume that the population standard deviation is unknown, which is typical for this kind of research. This statistical test is used to determine whether there is a significant difference between the known population mean and the observed sample mean.

For the other homework problems provided as a reference, the same reasoning would apply. The hypothesis tests involve comparing a sample mean to a known population mean using the sample standard deviation, so the t-test would again be the appropriate choice, as long as the sample size is small and the population standard deviation is not known.