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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Step 5: Reject H₁?
REJECT H or FAIL TO REJECT H₂? (circle the correct one)
Step 6: Summary Statement
A chi-square goodness-of-fit test was performed to determine whether the distribution of races at a small liberal arts
college differed from the distribution of races in the US in general. There [was/ was not] a significant difference in the
distributions, X ².
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Transcribed Image Text:Step 5: Reject H₁? REJECT H or FAIL TO REJECT H₂? (circle the correct one) Step 6: Summary Statement A chi-square goodness-of-fit test was performed to determine whether the distribution of races at a small liberal arts college differed from the distribution of races in the US in general. There [was/ was not] a significant difference in the distributions, X ².
Compare the distribution of races at a small liberal arts college (N=2000) with the expected distribution
from the US Census.
Asian
Black/African
American
White
Other
Race
a. Fill in the expected values for F₂.
Category (Race)
Asian
Black/African American
http://factfinder.census.gov/faces/tableservices/jsf/pages/productview.xhtml?pid=ACS_14_1YR_CP05&prodType-table
Expected % (Census
data)
5.2%
Step 2: Comparison distribution characteristics
X² distribution with
Step 3: Cut-off score if α = .05
X² critical
●
Step 4: Calculate X²
●
X² obtained
df
Fo
103
47
12.7%
73.4%
8.7%
White
Other*
*"Other" category: American Indian/ AK Native, Native Hawaiian/ Pacific Islander, Hispanic/Latino, Non-resident Alien, Two or More Races, Unknown
(Note that this school counts Hispanic/Latino differently than the US Census does, so we were unable to analyze that category separately.)
1333
517
b. Go through the steps of the hypothesis-testing procedure.
Step 1: Hypotheses
● HA: The distribution of races at this school differs from that of the US in general.
Ho: The distribution of races at this school does not differ from that of the US in general.
F₁
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Transcribed Image Text:Compare the distribution of races at a small liberal arts college (N=2000) with the expected distribution from the US Census. Asian Black/African American White Other Race a. Fill in the expected values for F₂. Category (Race) Asian Black/African American http://factfinder.census.gov/faces/tableservices/jsf/pages/productview.xhtml?pid=ACS_14_1YR_CP05&prodType-table Expected % (Census data) 5.2% Step 2: Comparison distribution characteristics X² distribution with Step 3: Cut-off score if α = .05 X² critical ● Step 4: Calculate X² ● X² obtained df Fo 103 47 12.7% 73.4% 8.7% White Other* *"Other" category: American Indian/ AK Native, Native Hawaiian/ Pacific Islander, Hispanic/Latino, Non-resident Alien, Two or More Races, Unknown (Note that this school counts Hispanic/Latino differently than the US Census does, so we were unable to analyze that category separately.) 1333 517 b. Go through the steps of the hypothesis-testing procedure. Step 1: Hypotheses ● HA: The distribution of races at this school differs from that of the US in general. Ho: The distribution of races at this school does not differ from that of the US in general. F₁
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