Answered: 9) According to the Census Bureau, the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

9) According to the Census Bureau, the distribution by ethnic background of the New
York City population in a recent year was
Hispanic: 28% B l a c k : 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.
[Use Algebra first then Tech next]
a. State the null and alternate hypotheses (write it mathematically) and write your
claim.
b. Find the teststatistics.
c. 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.

d. Decide whether to reject or fail to reject the null.
e. Make an interpretation of your decision in the context.

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