QUESTION 27

1. Major health studies try very hard to select a sample that is representative of the various ethnic groups making up the U.S. population. Here is the breakdown, by ethnicity, of subjects enrolled in a major study of sleep apnea:

White

4821

Hispanic

277

African American

510

Asian/Pacific

88

Native American

598

Total

6294

The known ethnic distribution in the United States, according to census data, is as follows:

White

0.756

Hispanic

0.091

Black

0.108

Asian/Pacific

0.038

Native American

0.007

Total

1

We want to know if the data from the sleep apnea study support the claim that the ethnicity of the subjects fits the ethnic composition of the U.S. population. At significance level alpha = 1%, what should you conclude?

There is significant evidence that the population studied does not match the ethnic composition of the U.S. population.

The data are consistent with a uniform distribution of ethnicities.

The data prove that the population studied matches the ethnic composition of the U.S. population.

We are unable to conclude anything because the test assumptions are not met.