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Created: Mar 30, 2019
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Inferential Statistics Report
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I: Introduction

 

My group and I designed a survey to assess and learn about the health rating and habits of our friends, families and acquaintances.  The population that we sampled was adults, 25-45 and non-military status. The information was collected from Facebook friends so the sample is not random. It is a convenience sample with a voluntary response. 

 

The survey contained the following questions:

 

1: How many days in a week do you do at least 20 minutes of moderate physical activity (an activity that increases heart rate, increases respiration/breathing rate, increases sweating and/or causes muscle fatigue)?

 

2: How many hours in a day do you spend sedentary/sitting (ex: eating, commuting, working, watching tv, etc)?

 

3: Are you male or female?

 

4: How would you rate your overall health: Poor, Good, Very Good, Excellent

 

II: Looking at a Categorical-Variable

a)   The pie chart displays the results to the question “Are you male or female”

b)   

Result 1: Pie Chart With Male or Female Question   [Info]
Right click to copy

c)    From the pie chart, we were able to conclude that 104 (63.03%) of the participants were female and 61 (36.97%) of them were male out of 165 total participants.

d)   One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

95% confidence interval results:

Proportion

Count

Total

Sample Prop.

Std. Err.

L. Limit

U. Limit

p

104

165

0.63030303

0.037579904

0.55664777

0.70395829

 

e)   Confidence interval=[0.55664777,0.70395829]

f)    There is a 95% chance that the confidence interval contains the true population mean. 104 of the 165 participants were female which gives us a confidence level that 95% of likely participants in this type of survey would be female. 

g)   Margin of error: 0.07365526

 

III: Looking at a Numerical Variable

This is the Histogram of responses to the question “How many days in a week do you do at least 20 minutes of moderate physical activity (an activity that increases heart rate, increases respiration/breathing rate, increases sweating and/or causes muscle fatigue)?”

 

a)   

Result 2: Histogram of Days/Week of Moderate Activity   [Info]
Right click to copy

b)   Summary statistics:

Column

n

Mean

Variance

Std. dev.

Std. err.

Median

Range

Min

Max

Q1

Q3

Days/Week with Moderate Activity

165

4.1575758

4.1091648

2.0271075

0.1578101

4

7

0

7

3

6

 

One sample T confidence interval:


μ : Mean of variable

95% confidence interval results:

Variable

Sample Mean

Std. Err.

DF

L. Limit

U. Limit

Days/Week with Moderate Activity

4.1575758

0.1578101

164

3.8459742

4.4691773

Confidence interval: [3.8459742,4.4691773]

Margin of error: 0.31160155

A T interval was used because the population standard deviation is unknown and the sample size is greater than 30. With this confidence interval, I am 95% confident that the participants of this survey participate in 20 minutes of moderate activity between 3 and 4 days per week.  

HTML link:
<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=86345">Inferential Statistics Report</A>

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