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Created: Mar 27, 2017
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The New Years Weight Loss Phenomenon Survey Inferential Statistics Report
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I.  Introduction:

a.

Group three and I designed a survey called "The New Year’s Weight Loss Phenomenon", to compare weight

loss successes by the motivation of a new year's resolution, verses Physician recommendations.  All the

received results were automatically entered a file and assigned a number that remained confidential for the

participants. The information for the survey was not randomly selected, but, was sent out to our Facebook

friends and contacts via email. Although many survey requests were solicited, it is understood that our sample

results were obtained from voluntary participants.  The total response to our survey was One Hundred

participants.

b.  

The questions submitted in the survey are as follows:

1) What is your personal goal weight that would make you happy?

2) What is your current weight?

3) Has a healthcare provider recommended to you the need to lose weight to control an actual or

    potential medical problem? Yes/No. 

4) How motivated are you to reach your new years' weight Loss goals? Please choose one of the 

     following; very unmotivated, unmotivated, somewhat motivated, motivated, very motivated.


II.  Looking at a Catagorical Variable:

 a.  The response to the question "Has a healthcare provider recommended to you the need to lose weight to

      control an actual or potential medical problem?" are shown in the following pie chart.


Result 1: Pie Chart: Did a health care provider recommend weight loss?   [Info]
Right click to copy


From the pie chart above we can ascertain that 27 of our 100 participants or 27% reported that they were

advised by a healthcare provider recommending a need to lose weight to control an actual or potential medical

problem.  Seventy-three, or 73% were not advised by a healthcare provider to lose weight.  

 

Result 2: 95% confidence interval for the proportion of those that said "Yes" with summary.   [Info]
One sample proportion confidence interval:
Outcomes in : provider recommended weight loss
Success : Yes
p : Proportion of successes
Method: Standard-Wald

95% confidence interval results:
VariableCountTotalSample Prop.Std. Err.L. LimitU. Limit
provider recommended weight loss271000.270.0443959460.182985550.35701445

 

Interpretation of the confidence interval: Above is the 95% confidence interval results for the proportion

of the population that answered "Yes" to the question, "Has a healthcare provider recommended to you the

need to lose weight to control an actual or potential medical problem?".  A 95% confidence interval means

that with different samples of size n=100, approximately 95% of these samples would result in confidence

intervals that contains the true proportion.  Based on the confidence interval, it appears that we are 95%

confident that the true proportion of our population that would answer yes to this question is between

(0.183 to 0.357).  


Standard of Error: E=( 0.357-0.27)=0.087/2=0.44 (Margin of Error)


III.  Looking at a Numerical Variable

a.  The response to the question "What is your personal goal weight that would make you happy?" are shown in the histogram and summary statistics below.   

Result 3: Histogram of goal weights   [Info]
Right click to copy

Result 4: Summary Statistics for goal weights   [Info]
Summary statistics:
ColumnnMeanVarianceStd. dev.Std. err.MedianRangeSkewnessMinMaxQ1Q3
goal weight100153.34809.1761628.4460222.84460221501250.40059422110235130175

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

Result 5: One Sample T statistics with data for goal weight   [Info]
One sample T confidence interval:
μ : Mean of variable

95% confidence interval results:
VariableSample MeanStd. Err.DFL. LimitU. Limit
goal weight153.342.844602299147.69569158.98431

Interpretation of the confidence interval:  A 95% confidence interval means that if we were to 

select many different samples of size n=100, approximately 95% of these samples would result

in confidence intervals that contain the true proportion mean (μ).   We interpret the above results

by saying we are 95% confident that our confident interval contains the true population

mean.  Translated by saying, we are 95% confident that within our population, the average

person’s goal weight falls between 148-159.

 

The t-distribution was used because the standard deviation of population mean is NOT known.


 

HTML link:
<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=67741">The New Years Weight Loss Phenomenon Survey Inferential Statistics Report</A>

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