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Created: Mar 7, 2013
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Inferential Statistics Report for Survey on Alcohol Consumption
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The purpose of this survey was to analyze the consumption of alcoholic beverages by individuals, with an aim to test if there was a difference in the number of drinks consumed by different genders in any given week as well as the age of these individual. I was also interested in what influenced these individuals to start consuming alcohol. The population sampled was friends and co-workers ranging from 22 to 71 years of age, it was made up of individuals of different ethnicity, race and background. The survey results were obtained via Facebook and email request created by stat crunch also by conducting interviews.

Survey Questions

1. What is your age? ___________

2. What is your gender? Circle one: M F

3. List the number of alcoholic drinks per week: _____________

4. Why did you start consuming alcohol? Circle one:

a. Peer Pressure

b. Curiosity

c. Influence of an adult

d. Other

e. I have never consumed alcohol

Looking at a Categorical Variable

The responses to the question "What is your gender? are shown in the pie chart below.

Result 1: Pie Chart showing data for gender   [Info]
Right click to copy

From the result of the pie chart we can see that from the 84 persons who participated in the survey 54 or 64.29% of the persons who responded are females.

Confidence Interval for population proportion of females that responded.

Result 2: One sample Proportion with summary for females   [Info]
95% confidence interval results:
p : proportion of successes for population
Method: Standard-Wald
Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit
p 54 84 0.64285713 0.052280363 0.54038954 0.7453248

For the population of females that responded to this survey,i am 95% confident that from 0.540 to 0.745 actually contains the true value of the population proportion. This  means that if we were to select many different samples of size n=84, approximately 95% of them will contain the true proportion p.

Looking at a numerical variable

The responses to the question "List the number of alcoholic drinks per week" are shown in the histogram below.

Result 3: Histogram showing data for number of alcoholic drinks consumed   [Info]
Right click to copy

Summary statistics for number of alcoholic drinks per week

Result 4: Summary Statistics for number of alcoholic drinks consumed per week   [Info]
Summary statistics:
Column n Mean Variance Std. Dev. Std. Err. Median Range Min Max Q1 Q3
Alcoholic drinks 84 3.047619 17.250717 4.153398 0.4531729 2 23 0 23 0 3.5

From a sample size of  84 we get a histogram that is skewed to the right,it is also unimodal with most of the data below 5 drinks per week. Using the formula Q3-Q1x 1.5 (3-0=3x1.5=4.5) & Q3+4.5=7.5) there are numerous outliers present in the data  9,10,14,21 and 23.

The mean number of drinks for the data is 30.0, with a median of 2 and a midrange of 11.5 drinks consumed per week.With a range of 23 we get an IQR of 5.75 which is the middle of the data. With a standard deviation of 4.2, and applying the ranges rule of tumb i would say a range of 5.75 would be a fair approxiamation of the standard deviation.

Result 5: One sample Z statistics with data for alcoholic drinks   [Info]
95% confidence interval results:
μ : mean of Variable
Std. Dev. = 12.2
Variable n Sample Mean Std. Err. L. Limit U. Limit
Alcoholic drinks 84 3.047619 1.3311291 0.4386539 5.6565843

For the population mean of the number of alcoholic drinks consumed per week  i am 95% confident that from 0.439 to 5.657  actually contains the true value of the population mean. The z interval was used because the population variance is known.



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