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Owner: nursecandy
Created: Mar 20, 2019
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FOOTBALL SURVEY 2
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I.             Introduction

A.
Our group designed a survey to learn many hours how our friends, family, coworkers, and acquaintances watch television with a focus on football and their opinion the outcome of the Super bowl.  We polled this population using email, Facebook, and through interview. We did not obtain a random sample for this survey.  We have a convenience sample with a voluntary response aspect, as not everyone we asked took the time to respond. The total response for our survey was one hundred and fifty two. 

 

B.
We asked the following Questions.

1.       In a typical week, how many hours of TV do you watch?

2.      In a typical week, how many hours of sports do you watch?

3.      Do you watch football?

4.      Who do you think will win the Super Bowl?

New England Patriots, LA Rams, I don’t know

 

II.           Looking at a Categorical Variable

 

 

A.
The responses to the question "Do you watch football?" are shown in the pie chart.

Result 1: Pie Chart Responses to Watching Football?

 

Result 1: Pie Chart With Data   [Info]
Right click to copy

 

From the pie chart above we were able to ascertain that 54 out of 152 respondents or 35.5% did not watch football.  While 98 or 64.5% did watch football. 

 

Result 2: One sample Proportion with summary

95% confidence interval results: 
p: proportion of successes for population 
Method: Standard-Wald

 

Result 2: One sample proportion confidence interval   [Info]

One sample proportion confidence interval:


Outcomes in : Do You Watch Football
Success : Y
p : Proportion of successes
Method: Standard-Wald

95% confidence interval results:
VariableCountTotalSample Prop.Std. Err.L. LimitU. Limit
Do You Watch Football981520.644736840.0388190170.568652970.72082072

 

 

Interpretation of the confidence interval: Above is the 95% confidence interval results for the portion of this group that answered yes to the question “Do you watch football?” A 95% confidence interval means that if we were to select many different samples of size n=152, approximately 95% of these samples would result in confidence intervals that contain the true proportion p. Thus we interpret the above results by saying we are 95% confident that our confidence interval contains the true proportion, i.e., we are 95% confident the true proportion of our population that would answer yes to this question is between 0.569 to 0.721.

 

The margin of error is E= (0.721-0.645)/2=0.076/2 = 0.038 (margin of error).

 

III.        Looking at a Numerical Variable

 

A.

The responses to the question "In a typical week, how many hours of sports do you watch?" are shown in the histogram and the summary statistics below.

 

Result 3: Histogram

 

Result 3: Histogram of "Hours of Sports Watched per Week"   [Info]
Right click to copy

 

Result 4: Summary Statistics for Total Hours of Sports Watched

 

Result 4: Summary Stats "Hours of Sports Watched per Week"   [Info]

Summary statistics:


ColumnnMeanVarianceStd. dev.MedianRangeMinMaxQ1Q3
Hours of Sports Watched1523.026315814.5555943.815179522002005

 

 

B.

A 95% confidence interval for the population mean is shown below.

 

Result 5: One sample T statistics with data

 

Result 5: One sample T confidence interval   [Info]

One sample T confidence interval:


μ : Mean of variable

95% confidence interval results:
VariableSample MeanStd. Err.DFL. LimitU. Limit
Hours of Sports Watched3.02631580.309451921512.4149013.6377306

 

Interpretation of the confidence interval: A 95% confidence interval means that if we were to select many different samples of size n=152, approximately 95% of these samples would result in confidence intervals that contain the true proportion mean µ. Thus we interpret the above results by saying we are 95% confident that our confidence interval contains the true population mean.  In other words, we are 95% confident that within our population, the average person watches sports between 2.4 and 3.6 hours a week.   

 

The t-distribution was used because the population standard deviation is unknown.

 

HTML link:
<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=86056">FOOTBALL SURVEY 2</A>

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