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Created: Jul 29, 2018
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Module 5/6 Group 3 Survey
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I. Introduction

 

a.  Healthcare Statistics, Group 3 created a survey to determine the various exercise routines and if exercising become harder as we age within a group of friends and relatives.  The age groups were between 21 - 85. 

 

The sample of people chosen were friends, family members, and coworkers.  They responded to either a posting on Facebook, personally interviewed, or by email  The survey was voluntary and considered a convenience survey.  We attained 141 responses from our group members.  Those that responded to the survey questions implied consent to their participation in the survey.  The following are the questions posed from our group:

 

b.  Listed below are the survey questions:

  1. What is your age?

2. How many minutes do you usually exercise at once?

3. Do you find that exercise difficulty increases with age? Select one: Yes or No

4. How often do you exercise for 30 minutes or more per day? 

A) 5-7 times per week

B) 2-4 times per week

C) 3-5 times per month

D) 1-2 times per month

E) Rarely or never

 

 

II. Looking at a Categorical Variable

 

a.  Group Three’s Yes/No question was, “Do you find that exercise difficulty increases with age? Select one: Yes or No.”  As noted by the pie graph shown, the responses of the yes/no category by our respondents as to whether exercise became more difficult as we aged was a resounding yes.  The result is 75.18% of our respondents stated exercise became increasingly difficult as they age. 

 

 

 

Result 1: Pie Chart With Data - Due 7/29   [Info]
Right click to copy

 

 

 

 

 

b. Compute and interpret (in your own words) a 95% confidence interval for the proportion of the population that would answer “yes” to this question (if it’s a Y/N question), or the proportion of the population having one of the two characteristics. 

 

 

Result 2: One sample proportion confidence interval YES due 7/29   [Info]
One sample proportion confidence interval:
Outcomes in : Harder with Age
Success : YES
p : Proportion of successes
Method: Standard-Wald

95% confidence interval results:
VariableCountTotalSample Prop.Std. Err.L. LimitU. Limit
Harder with Age1061410.751773050.0363796310.680470280.82307582

 

 

Interpretation:  

As shown, we can state with 95% confidence, the participants in this survey agree as we age, exercising becomes more difficult.  For this group, the margin of error is  0.071. This was achieved by 0.82307582 - 0.68047028  = 0.14260554/2 = 0.071

 

III. Looking at a Numerical Variable 

 

  1. Refer to the numerical variable that you analyzed in the last part of the project. Restate the question and provide a histogram or box plot of the data, as well as the summary statistics. 

 

 

Result 3: Histogram ages due 7/29   [Info]
Right click to copy

 

Result 4: Summary Stats age due 7/29   [Info]
Summary statistics:
ColumnnMeanVarianceStd. dev.Std. err.MedianRangeMinMaxQ1Q3
Age14143.957447161.2410312.6980721.0693706406421853454

 

 

b. Compute and interpret (in your own words) a 95% confidence interval for the population mean. Did you use a z- or a t- interval? What influenced your choice to use one over the other?

 

 

Result 5: One sample Z confidence interval ages due 7/29   [Info]
One sample Z confidence interval:
μ : Mean of variable
Standard deviation not specified.

95% confidence interval results:
VariablenSample MeanStd. Err.L. LimitU. Limit
Age14143.9574471.069370641.86151946.053375

 

 

 

According to our text, “The confidence interval is associated with a confidence level such as 0.95 or 95%.  The confidence level gives us the success rate of the procedure used to construct the confidence interval” (Triola, 2015).   

 

 

In reviewing Group 3 results, the mean age of our sample is 43.9.  Overall, we have a 95% confidence level the sample mean falls within the confidence interval of 41.9 and 46.1.  

 

 

Triola, Mario F.,  (2015), Essentials of Statistics, 5th Edition, Pearson, Boston, pp. 338-339



 <Data1>









Data set 1. Group 3 Data   [Info]
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<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=78577">Module 5/6 Group 3 Survey</A>

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