A researcher is interested in determining if the model used for the distribution of main economic concerns in the year 2003 for residents in a certain county can still be used in the year 2004. A sample of 370 residents from that county was surveyed in 2004. The following table displays the model for the distribution of economic concerns for the year 2003 and the observed number of sampled respondents in the survey for the same economic concerns for the year 2004. Economic concern 1: Jobs 2: Medical care 4: Housing Total 3: Higher education Model from 2003 5% 36% 27% 32% 100% Counts in 2004 25 138 116 91 370 Under the null hypothesis that the model from the previous year can still be used, what is the distribution of the chi-square statistic? 0 x ²(2) x ²(3) 0 x ²(4) x ²(1)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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A researcher is interested in determining if the model used for the distribution of main economic concerns in the
year 2003 for residents in a certain county can still be used in the year 2004. A sample of 370 residents from that
county was surveyed in 2004. The following table displays the model for the distribution of economic concerns
for the year 2003 and the observed number of sampled respondents in the survey for the same economic
concerns for the year 2004.
Economic concern
1: Jobs
2: Medical care
4: Housing Total
3: Higher
education
Model from 2003
5%
36%
27%
32%
100%
Counts in 2004
25
138
116
91
370
Under the null hypothesis that the model from the previous year can still be used, what is the distribution of the
chi-square statistic?
○ x ²(2)
O x ²(3)
O x ²(4)
O x²(1)
Transcribed Image Text:A researcher is interested in determining if the model used for the distribution of main economic concerns in the year 2003 for residents in a certain county can still be used in the year 2004. A sample of 370 residents from that county was surveyed in 2004. The following table displays the model for the distribution of economic concerns for the year 2003 and the observed number of sampled respondents in the survey for the same economic concerns for the year 2004. Economic concern 1: Jobs 2: Medical care 4: Housing Total 3: Higher education Model from 2003 5% 36% 27% 32% 100% Counts in 2004 25 138 116 91 370 Under the null hypothesis that the model from the previous year can still be used, what is the distribution of the chi-square statistic? ○ x ²(2) O x ²(3) O x ²(4) O x²(1)
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