The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 70% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 74%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? a)State the null and alternative hypotheses. b)Find the value of the test statistic. Round your answer to two decimal places. c)Specify if the test is one-tailed or two-tailed. d)Determine the P-value of the test statistic. Round your answer to four decimal places. e)Identify the value of the level of significance. f)Make the decision to reject or fail to reject the null hypothesis. g)State the conclusion of the hypothesis test

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 70% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 74%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim?

a)State the null and alternative hypotheses.

b)Find the value of the test statistic. Round your answer to two decimal places.

c)Specify if the test is one-tailed or two-tailed.

d)Determine the P-value of the test statistic. Round your answer to four decimal places.

e)Identify the value of the level of significance.

f)Make the decision to reject or fail to reject the null hypothesis.

g)State the conclusion of the hypothesis test

 

 
 
 
 
 
 
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