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A sample of 80 households was randomly selected from the home owners in Columbia, Missouri, and an independent sample of 120 households was randomly selected from the home owners in St. Louis, MO. For each household, a yes or no response was obtained to the question: Would you support a 5% increase in property tax to improve the quality of primary and secondary education in the city? The responses are given below (artificial data): Yes No(or Not sure) Columbia St. Louis 37 43 80 47 73 120 Perform a test of the null hypothesis that there is no association between the cities and support rate for the tax increase (i.e.,the proportions of homeowners who would support the tax increase are the same in the two cities). (a) Set up the appropriate Ho and H₂. (b) Calculate the test statistic. (c) Find the P-value and make your conclusion at a = .05

A sample of 80 households was randomly selected from the home owners in Columbia, Missouri, and an independent sample of 120 households was randomly selected from the home owners in St. Louis, MO. For each household, a yes or no response was obtained to the question: Would you support a 5% increase in property tax to improve the quality of primary and secondary education in the city? The responses are given below (artificial data): Yes No(or Not sure) Columbia St. Louis 37 43 80 47 73 120 Perform a test of the null hypothesis that there is no association between the cities and support rate for the tax increase (i.e.,the proportions of homeowners who would support the tax increase are the same in the two cities). (a) Set up the appropriate Ho and H₂. (b) Calculate the test statistic. (c) Find the P-value and make your conclusion at a = .05

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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4. A sample of 80 households was randomly selected from the home owners in Columbia, Missouri, and an independent sample of 120 households was randomly selected from the home owners in St. Louis, MO. For each household, a yes or no response was obtained to the question: Would you support a 5% increase in property tax to improve the quality of primary and secondary education in the city? The responses are given below (artificial data): Yes No(or Not sure) Columbia St. Louis 37 43 80 47 73 120 Perform a test of the null hypothesis that there is no association between the cities and support rate for the tax increase (i.e.,the proportions of homeowners who would support the tax increase are the same in the two cities). (a) Set up the appropriate Ho and Ha. (b) Calculate the test statistic. (c) Find the P-value and make your conclusion at a = .05
Transcribed Image Text:4. A sample of 80 households was randomly selected from the home owners in Columbia, Missouri, and an independent sample of 120 households was randomly selected from the home owners in St. Louis, MO. For each household, a yes or no response was obtained to the question: Would you support a 5% increase in property tax to improve the quality of primary and secondary education in the city? The responses are given below (artificial data): Yes No(or Not sure) Columbia St. Louis 37 43 80 47 73 120 Perform a test of the null hypothesis that there is no association between the cities and support rate for the tax increase (i.e.,the proportions of homeowners who would support the tax increase are the same in the two cities). (a) Set up the appropriate Ho and Ha. (b) Calculate the test statistic. (c) Find the P-value and make your conclusion at a = .05
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