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An independent survey claimed that the average number of people who will vote for BBM in Visayas is greater than the average number of people who will vote for VPLR in Luzon. To validate this survey, a group of researchers conducted a post-test. In a survey of 210 people in Luzon, the average number of people who will vote for VPLR is 153 with a population standard deviation of 7.6. In a survey of 200 people in Visayas, the average number of people who will vote for BBM is 155 with a population standard deviation of 12.6. At α = 0.05, can people trust the result of the survey?

An independent survey claimed that the average number of people who will vote for BBM in Visayas is greater than the average number of people who will vote for VPLR in Luzon. To validate this survey, a group of researchers conducted a post-test. In a survey of 210 people in Luzon, the average number of people who will vote for VPLR is 153 with a population standard deviation of 7.6. In a survey of 200 people in Visayas, the average number of people who will vote for BBM is 155 with a population standard deviation of 12.6. At α = 0.05, can people trust the result of the survey?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 20E
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An independent survey claimed that the average number of people who will vote for BBM in Visayas is greater than the average number of people who will vote for VPLR in Luzon. To validate this survey, a group of researchers conducted a post-test.

In a survey of 210 people in Luzon, the average number of people who will vote for VPLR is 153 with a population standard deviation of 7.6. In a survey of 200 people in Visayas, the average number of people who will vote for BBM is 155 with a population standard deviation of 12.6. At α = 0.05, can people trust the result of the survey?

What is the decision? Reject Ho Do not Reject Ho What does the decision imply? There is sufficient evidence at 95% level of confidence that the average number of people who will vote for BBM in Visayas is greater than the number of people who will vote for VPLR in Luzon There is no sufficient evidence at 95% level of confidence that the average number of people who will vote for BBM in Visayas is greater than the number of people who will vote for VPLR in Luzon There is sufficient evidence at 95% level of confidence that the average number of O people who will vote for BBM in Visayas is not equal the number of people who will vote for VPLR in Luzon
Transcribed Image Text:What is the decision? Reject Ho Do not Reject Ho What does the decision imply? There is sufficient evidence at 95% level of confidence that the average number of people who will vote for BBM in Visayas is greater than the number of people who will vote for VPLR in Luzon There is no sufficient evidence at 95% level of confidence that the average number of people who will vote for BBM in Visayas is greater than the number of people who will vote for VPLR in Luzon There is sufficient evidence at 95% level of confidence that the average number of O people who will vote for BBM in Visayas is not equal the number of people who will vote for VPLR in Luzon
What test should be used in the case analysis? Two-sample Test Hypothesis Testing (t-test for Mean) Two-sample Test Hypothesis Testing (Z-test for Population Proportion) Two-sample Test Hypothesis Testing (Z-test for Mean) None of the choices What is the critical value? 1.960 1.282 1.645 2.580 What is the standard test statistic? 1.4130 1.2820 2.1650 3.1250
Transcribed Image Text:What test should be used in the case analysis? Two-sample Test Hypothesis Testing (t-test for Mean) Two-sample Test Hypothesis Testing (Z-test for Population Proportion) Two-sample Test Hypothesis Testing (Z-test for Mean) None of the choices What is the critical value? 1.960 1.282 1.645 2.580 What is the standard test statistic? 1.4130 1.2820 2.1650 3.1250
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