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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
Section11.4: Collecting Data
Problem 3E
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A newspaper reported the top five states for sales of hybrid cars in 2004 as California, Virginia, Washington, Florida, and Maryland. Suppose that each car in a sample of 2004 hybrid car sales is classified by state where the sale took place. Sales from states other than the top five were excluded from the sample, resulting in the accompanying table. State California Virginia Washington Florida Maryland Total State California USE SALT Virginia Washington Florida Observed Frequency Maryland Total (The given observed counts are artificial, but they are consistent with hybrid sales figures given in the article.) The 2004 population estimates from the Census Bureau website are given in the accompanying table. The population proportion for each state was computed by dividing each state population by the total population for all five states. Use the x² goodness-of-fit test and a significance level of a = 0.01 to test the hypothesis that hybrid sales for these five states are proportional to the 2004 population for these states. 249 55 35 32 32 403 2004 Population Population Proportion 35,842,038 7,481,332 6,207,046 17,385,430 5,561,332 72,477,178 0.495 0.103 0.085 0.240 0.077 Calculate the test statistic. (Round your answer to two decimal places.) x² = = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = 0.0001 What can you conclude? Fail to reject Ho. There is not enough evidence to conclude that hybrid sales are not proportional to population size for the five states listed. Reject Ho. There is not enough evidence to conclude that hybrid sales are not proportional to population size for the five states listed. Fail to reject Ho. There is convincing evidence to conclude that hybrid sales are not proportional to population size for the five states listed. O Reject Ho. There is convincing evidence to conclude that hybrid sales are not proportional to population size for the five states listed.
Transcribed Image Text:A newspaper reported the top five states for sales of hybrid cars in 2004 as California, Virginia, Washington, Florida, and Maryland. Suppose that each car in a sample of 2004 hybrid car sales is classified by state where the sale took place. Sales from states other than the top five were excluded from the sample, resulting in the accompanying table. State California Virginia Washington Florida Maryland Total State California USE SALT Virginia Washington Florida Observed Frequency Maryland Total (The given observed counts are artificial, but they are consistent with hybrid sales figures given in the article.) The 2004 population estimates from the Census Bureau website are given in the accompanying table. The population proportion for each state was computed by dividing each state population by the total population for all five states. Use the x² goodness-of-fit test and a significance level of a = 0.01 to test the hypothesis that hybrid sales for these five states are proportional to the 2004 population for these states. 249 55 35 32 32 403 2004 Population Population Proportion 35,842,038 7,481,332 6,207,046 17,385,430 5,561,332 72,477,178 0.495 0.103 0.085 0.240 0.077 Calculate the test statistic. (Round your answer to two decimal places.) x² = = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = 0.0001 What can you conclude? Fail to reject Ho. There is not enough evidence to conclude that hybrid sales are not proportional to population size for the five states listed. Reject Ho. There is not enough evidence to conclude that hybrid sales are not proportional to population size for the five states listed. Fail to reject Ho. There is convincing evidence to conclude that hybrid sales are not proportional to population size for the five states listed. O Reject Ho. There is convincing evidence to conclude that hybrid sales are not proportional to population size for the five states listed.
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