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

White	Hispanic	African American	Asian/Pacific	Native American	Total
4821	277	510	88	598	6294

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

White	Hispanic	African American	Asian/Pacific	Native American	Total
0.756	0.091	0.108	0.038	0.007	1

a. We want to know if the data from the sleep apnea studysupport the claim that the ethnicity of the subjects fits theethnic composition of the U.S. population. What does the nullhypothesis for this test state?

1. All five counts are equal.
2. All five sample proportions are equal.
3. All five population proportions are equal.
4. All five population proportions are equal to their respectiveU.S. census proportions.

b. What is the expected count of Hispanics under the nullhypothesis (show calculation)?

a. 277

b. 25.207

c. 572.754

d. 152.72

c. At significance level alpha = 1%, what should youconclude

1. a. composition of the U.S.population.
2. b. The data are consistent with auniform distribution of ethnicities.
3. c. The data prove that thepopulation studied matches the ethnic composition of the U.S.population.
4. e. We are unable to concludeanything because the test assumptions are not met.