is reported that the average American eats out at a restaurant 5.9 times per week. A random sample of 40 Americans showed that the average amount of times they ate out at a restaurant per week was 5.1 times with a standard deviation of 1.7.  Is there enough evidence at the 5% level that the average American eats out less than 5.9 times per week? Set up the hypothesis test with Ho and Ha: a) Ho: p = 5.9%. The proportion of amount of times Americans eat out at a restaurant per week is 5.9%. Ha: p < 5.9%. The proportion of amount of times Americans eat out at a restaurant per week is less than 5.9%.

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
Problem 8CR
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Question

It is reported that the average American eats out at a restaurant 5.9 times per week. A random sample of 40 Americans showed that the average amount of times they ate out at a restaurant per week was 5.1 times with a standard deviation of 1.7.  Is there enough evidence at the 5% level that the average American eats out less than 5.9 times per week?

Set up the hypothesis test with Ho and Ha:

a) Ho: p = 5.9%. The proportion of amount of times Americans eat out at a restaurant per week is 5.9%. Ha: p < 5.9%. The proportion of amount of times Americans eat out at a restaurant per week is less than 5.9%.

b) Ho: u = 5.1. The average amount of times Americans eat out at a restaurant per week is 5.1. Ha: u < 5.1. The average amount of times Americans eat out at a restaurant per week is less than 5.1.

c) Ho: u = 5.9. The average amount of times Americans eat out at a restaurant per week is 5.9. Ha: u < 5.1. The average amount of times Americans eat out at a restaurant per week is less than 5.1.

d) Ho: u = 5.9. The average amount of times Americans eat out at a restaurant per week is 5.9. Ha: u < 5.9. The average amount of times Americans eat out at a restaurant per week is less than 5.9.

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