Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 20 stations last Tuesday, the correlation was 0.44.   The following hypotheses are given. H0: ρ ≤ 0 H1: ρ > 0 a. Find the critical value at 0.010 significance level. (Round your answer to 3 decimal places.)   b. Compute the value of the test statistic. (Round your answer to 3 decimal places.)   c. What is the decision?  (Choose 1 or 2.)   1. Reject null hypothesis 2. Do not reject null hypothesis   d. What is the conclusion  (Choose 1 or 2.) 1. There is enough evidence to conclude there is a positive correlation between gallons sold and the pump price. 2. There is not enough evidence to conclude there is a positive correlation between gallons sold and the pump price.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 20 stations last Tuesday, the correlation was 0.44.
 

The following hypotheses are given.

H0ρ ≤ 0

H1ρ > 0


a. Find the critical value at 0.010 significance level. (Round your answer to 3 decimal places.)

 

b. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

 

c. What is the decision?  (Choose 1 or 2.)

 

1. Reject null hypothesis

2. Do not reject null hypothesis

 

d. What is the conclusion  (Choose 1 or 2.)

1. There is enough evidence to conclude there is a positive correlation between gallons sold and the pump price.

2. There is not enough evidence to conclude there is a positive correlation between gallons sold and the pump price.

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