You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.01 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 78 20 64 28 67 19 34 25 26 36 70 26 63 26 61 31 76 32   Ho: ρ = 0 Ha: ρ > 0 Find the Linear Correlation Coefficient     r =  Find the p-value    p-value =    The p-value is Less than (or equal to) αα Greater than αα   The p-value leads to a decision to Do Not Reject Ho Accept Ho Reject Ho   The conclusion is  There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant negative linear correlation between driver age and number of driver deaths. There is a significant linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 3CYU
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You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.01 and round all values to 4 decimal places.

Driver Age Number of Driver Deaths per 100,000
78 20
64 28
67 19
34 25
26 36
70 26
63 26
61 31
76 32

 

Ho: ρ = 0
Ha: ρ > 0

Find the Linear Correlation Coefficient
    r = 

Find the p-value
   p-value =   

The p-value is

  • Less than (or equal to) αα
  • Greater than αα

 

The p-value leads to a decision to

  • Do Not Reject Ho
  • Accept Ho
  • Reject Ho

 

The conclusion is 

  • There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths.
  • There is a significant negative linear correlation between driver age and number of driver deaths.
  • There is a significant linear correlation between driver age and number of driver deaths.
  • There is a significant positive linear correlation between driver age and number of driver deaths.
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