Are these data significantly different from the city’s distribution by race? Carry out an appropriate test at the ? = 0.05 level of significance to support your answer. State the null and alternate hypotheses (write it mathematically) and write your claim. Find the test statistics. Identify the Rejection region (critical region) and fail to reject region. Show this by drawing a curve and separate the rejection region from the fail to reject region using the critical value.
According to the Census Bureau, the distribution by ethnic background of the New York City population in a recent year was
Hispanic: 28% Black: 24% White: 35% Asian: 12% Others: 1%
The manager of a large housing complex in the city wonders whether the distribution by race of the complex’s residents is consistent with the population distribution. To find out, she records data from random sample of 800 residents. The table below displays the sample data.
| Race | Hispanic | Black | White | Asian | Others |
| Count | 212 | 202 | 270 | 94 | 22 |
Are these data significantly different from the city’s distribution by race? Carry out an appropriate test at the ? = 0.05 level of significance to support your answer.
State the null and alternate hypotheses (write it mathematically) and write your claim.
Find the test statistics.
Identify the Rejection region (critical region) and fail to reject region. Show this by drawing a curve and separate the rejection region from the fail to reject region using the critical value.
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