The following hypotheses are given to determine an One-Tail testing. H0: p≤0 Ha: p >0 A random sample of 10 paired observations indicated a correlation (r) of .35. Can we con­clude that the correlation in the population is greater than zero by performing the t-statistic?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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  1. The following hypotheses are given to determine an One-Tail testing.

H0: p≤0

Ha: p >0

A random sample of 10 paired observations indicated a correlation (r) of .35. Can we con­clude that the correlation in the population is greater than zero by performing the t-statistic?

 

 

 

 

 

 

 

 

By using the .05 signifi­cance level, what is the p-value or critial value?____________

 

 

 

What is your decision regarding Ho or the null hypothosis?

 

 

 

 

  1. The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luaggage, which in turn will result in higher fuel costs. For a sample of 13 flights, the correlation between the number of passengers and total fuel cost was .37. Is it reasonable to conclude that there is positive association in the population between the two variables?

H0: p≤0

Ha: p >0







 

  1. The following hypotheses are given to determine an One-Tail testing.

H0: p≤0

Ha: p >0

A random sample of 10 paired observations indicated a correlation (r) of .35. Can we con­clude that the correlation in the population is greater than zero by performing the t-statistic?

 

 

 

 

 

 

 

 

By using the .05 signifi­cance level, what is the p-value or critial value?____________

 

 

 

What is your decision regarding Ho or the null hypothosis?

 

 

 

 

  1. The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luaggage, which in turn will result in higher fuel costs. For a sample of 13 flights, the correlation between the number of passengers and total fuel cost was .37. Is it reasonable to conclude that there is positive association in the population between the two variables?

H0: p≤0

Ha: p >0









  1. he correlation between the number of police on the street and the number of crimes committed, for a sample of 15 comparable sized cities, is 0.45. At the 0.05 significance level is there a positive association in the population between the two variables?

 

a. State the null and alternate hypotheses.

H0: _____________________________________________________________________

H1: ______________________________________________________________________

b. State the decision rule.

_____________________________________________________________________________

c. Compute the value of the test statistic.





d. What is your decision regarding the null hypothesis? Interpret the result.



_________________________________________________________________________

 





Use the 5% significant level, what is the p-value?__





Use the 5% significant level, what is the p-value?__

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