The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant negative linear correlation between ticket price and number of attendees. Use a significance level of 0.05 and round all values to 4 decimal places.

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The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant negative linear correlation between ticket price and number of attendees. Use a significance level of 0.05 and round all values to 4 decimal places.

 

Ticket Price Attendence
6 190
10 124
14 114
18 139
22 118
26 139
30 90
34 123
38 138

 

Ho: ρ = 0
Ha: ρ < 0

Find the Linear Correlation Coefficient
    r = 

Find the p-value
   p-value =  

The p-value is

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

 

The p-value leads to a decision to

  • Accept Ho
  • Do Not Reject Ho
  • Reject Ho

 

The conclusion is 

  • There is a significant positive linear correlation between ticket price and attendance.
  • There is a significant linear correlation between ticket price and attendance.
  • There is a significant negative linear correlation between ticket price and attendance.
  • There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance.
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