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 3: Higher 4: Housing Total education Model from 2003 5% 36% 27% 32% 100% Counts in 2004 25 138 116 91 370 Let P₁, P2, P3, and p4 be the proportion of all residents in this county who would list each of the economic concerns as priority for the year 2004. What would be the null hypothesis for a chi-square test for testing if the model from the previous year can still be used? Ho: P1 P2 P3 = P4 = 0.25 Ho: P1= 25; P2 = 138; p3=116; P4 = 91 This cannot be determined from the information given. Ho: P1 = 0.05; P2 = 0.36; p = 0.27; P4 = 0.32
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 3: Higher 4: Housing Total education Model from 2003 5% 36% 27% 32% 100% Counts in 2004 25 138 116 91 370 Let P₁, P2, P3, and p4 be the proportion of all residents in this county who would list each of the economic concerns as priority for the year 2004. What would be the null hypothesis for a chi-square test for testing if the model from the previous year can still be used? Ho: P1 P2 P3 = P4 = 0.25 Ho: P1= 25; P2 = 138; p3=116; P4 = 91 This cannot be determined from the information given. Ho: P1 = 0.05; P2 = 0.36; p = 0.27; P4 = 0.32
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4AGP
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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 3: Higher
4: Housing Total
education
Model from 2003
5%
36%
27%
32%
100%
Counts in 2004
25
138
116
91
370
Let P1, P2, P3, and p4 be the proportion of all residents in this county who would list each of the economic
concerns as priority for the year 2004. What would be the null hypothesis for a chi-square test for testing if the
model from the previous year can still be used?
Ho: P1 P2 P3 = P4 = 0.25
Ho: P₁ = 25; P2 = 138; p3 =116; p4 = 91
This cannot be determined from the information given.
Ho: P₁ = 0.05; p2 = 0.36; p3
=
0.27; P4 = 0.32
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