MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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