Question

An industrial psychologist consulting with a chain of music stores knows that the average number of complaints management receives each month throughout the industry is 4 , but the variance is unknown. Nine of the chain's stores were randomly selected to record complaints for one month; they received 2,4,3,5,0,2,5,1, and 5 complaints. Using the .05 significance level, is the number of complaints received by the chain different from the number of complaints received by music stores in general?

Use the five steps of hypothesis testing.

Answer 1

This is a test of one proportion comparing the proportion of people in the town suffering from depression to the population proportion.

Step-by-step explanation:

This is a test of one proportion. We are comparing the proportion of people in the town suffering from depression or a depressive illness to the population proportion of American adults suffering from the same.

The null hypothesis (H0) is that the true proportion of people in the town suffering from depression or a depressive illness is equal to the population proportion. The alternative hypothesis (Ha) is that the true proportion in the town is lower than the population proportion.

To conduct the hypothesis test, we can use a one-sample proportion test. Calculate the test statistic (z-score) and corresponding p-value. Compare the p-value to the significance level of 0.05 to make a decision on whether to reject or fail to reject the null hypothesis.