1. You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 3.5% of the true population proportion. How large of a sample size is required?   =

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1. You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 3.5% of the true population proportion. How large of a sample size is required?  

=    

 

2. Here is a bivariate data set.

x y
31 16
61 47
38 22
54 46
38 12
65 50
17 -34
28 22
16 -6



Find the correlation coefficient and report it accurate to four decimal places.
r = 

 

3. 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  linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places.

 

Ticket Price Attendence
6 159
10 105
14 109
18 107
22 126
26 173

 

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