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Running head: MAT 223 FINAL PROJECT 1 MAT 223 Final Project: Exploring the Class Data Spring 2016

 

Henry M. Flagler

 

Flagler College MAT 223 FINAL PROJECT 2

 

MAT 223 Final Project: Exploring the Class Data Spring 2016

 

In this section, you will need to state the purpose of the study, explain the importance of

 

the research, and what you expected to find in your sample data.

 

SUMMARY OF DATA COLLECTION

 

Identify your sample and the targeted population. State any bias that may exist in your

 

data based on your surveying technique. List the survey questions, but not the answers.

 

SUMMARY OF SAMPLE DATA ? GRAPHS AND STATISTICS

 

Demographics

 

First describe your sample in regards to demographics. The first demographic is gender. Include a written paragraph description of the categorical distribution in complete sentences. Recall, use the percent and not the count to describe your

 

sample. Include in the description the two components:

 

(1) Mode and (2) Variability.

 

The second demographic is age. Include a written paragraph

 

description of the numerical distribution in complete sentences. Include in the description the four components: (1) Shape, (2) Best measure of Center, (3) Best measure of Variability, and (4) Outliers. Summary statistics:

 

Column n

 

Age Mean 78 18.769231 Median Mode Min Max Range IQR Std. dev.

 

18 18 17 28 11 1 1.528288 Interesting Sample Results

 

IN THIS LOCATION, YOU WILL HAVE AT LEAST SIX MORE GRAPHS; FOUR FOR

 

CATEGORICAL VARIABLES AND TWO FOR NUMERICAL VARIABLES. YOU MUST USE MAT 223 FINAL PROJECT 3

 

THE SAME FORMAT AS OUTLINED FOR GENDER AND AGE GIVEN ABOVE FOR THESE

 

SIX OTHERS GRAPHS YOU CREATE! PLEASE SELECT DATA THAT IS INTERESTING TO

 

THE READER AND IMPORTANT TO YOUR STUDY. IN PARTICULAR, IN THIS TEMPLATE,

 

A GRAPH REPRESENTING THE STUDENT RESPONSES TO ?SHOULD SMOKING BE

 

ALLOWED IN THE GAZEBO? WOULD BE INCLUDED BECAUSE A TEST TO DETERMINE

 

IF THE MAJORITY OF ALL STUDENTS DO NOT WANT SMOKING PREMITTED IN THE

 

GAZEBO IS RUN IN PART VI. SOME OF YOUR PAPERS MAY NEED TO GO FURTHER

 

INTO THE DEMOGRAPHICS OF THE SAMPLE (IE. ACADEMIC STANDING, LIVE ON OR

 

OFF CAMPUS, ETC.) PLEASE INCLUDE THIS INFORMATION ONLY IF IT RELEVANT TO

 

YOUR STUDY! Interesting Sample Results between Groups

 

Compare the results of one numerical variable

 

to your study. Include a written paragraph description of between groups that is important

 

the numerical distribution in complete sentences. Include in the

 

description the four components: (1) Shape, (2) Five

 

(4) Outliers. Also, include a written paragraph

 

distributions in regards to their relationship between

 

identified in the stacked boxplots.

 

Summary statistics for Rich:

 

Group by: Gender Number Summary, (3) IQR, and

 

comparing the two

 

each other as MAT 223 FINAL PROJECT 4

 

Gender n

 

Female 38

 

Male Min Q1 Median Q3 Max IQR 300 100000 100000 300000 1000000 200000 18 10000 100000 275000 500000 2000000 400000 ASSOCIATIONS BETWEEN VARIABLES

 

Contingency Table: Exploring Associations in Categorical Variables

 

Compare the association between two different pairs of two categorical variables that has

 

importance to your study. Calculate the necessary probabilities to determine if there exists an

 

association between the categorical variables. Write a paragraph description of the association in

 

complete sentences. Include in the description if the variables (events) are independent or

 

dependent. Please explain your reasoning based on the calculated probabilities. Contingency table results:

 

Rows: Negative

 

Columns: Employer Rights

 

No; an employer does not

 

Yes; an employer does have Total

 

have the right to look up a

 

the right to look up a

 

potential employee on social potential employee on social

 

media.

 

media.

 

No; nothing negative has

 

ever occurred to me based

 

on a social media post. 9 36 45 Yes; something negative

 

has occurred to me based

 

on a social media post. 10 17 27 Total 19 53 72 YOU WILL NEED TWO COMPARISONS FOR TWO DIFFERENT PAIRS OF

 

CATEGORICAL DATA. PLEASE INCLUDE THE CONTINGENCY TABLE FOR BOTH

 

COMPARISONS AND AN EXPLANATION FOR BOTH COMPARISONS. MAT 223 FINAL PROJECT 5

 

STATISTICAL INFERENCE

 

Hypothesis Test #1 ? A Claim of Majority

 

The first hypothesis test deals with categorical data and will test a claim of majority. In

 

the example here, the claim is that the majority of Flagler College students do not want smoking

 

to be permitted in the Gazebo. Write a paragraph in complete sentences that introduces your

 

hypothesis test. Please include in the introduction the null and alternate hypothesis in words and

 

the level of significance (typically ? = 0.05), state if the test is right, left, or two tailed, and

 

reference the graph associated with the test. Then, check the necessary conditions. One sample proportion hypothesis test:

 

Outcomes in : Gazebo

 

Success : No

 

p : Proportion of successes

 

H0 : p = 0.5

 

HA : p > 0.5

 

Hypothesis test results:

 

Variable Count Total Sample Prop.

 

Gazebo 44 74 Std. Err. Z-Stat 0.59459459 0.058123819 1.6274669 P-value

 

0.0518 After running the test, make a statement in regards to rejecting or failing to reject the null

 

hypothesis. Finally state a conclusion. Your conclusion always refers back to the statement of

 

the claim.

 

Confidence Interval #1 ? Estimating the Population Proportion

 

The first confidence interval is associated with the first hypothesis test. Regardless of

 

your test results, it is always good to estimate the population proportion using a confidence MAT 223 FINAL PROJECT 6

 

interval. Write a paragraph in complete sentences that introduces the confidence interval you

 

plan to construct identifying the level of significance you plan to use. Next, check the necessary

 

conditions.

 

One sample proportion confidence interval:

 

Outcomes in : Gazebo

 

Success : No

 

p : Proportion of successes

 

Method: Standard-Wald

 

90% confidence interval results:

 

Variable Count Total Sample Prop.

 

Gazebo 44 74 Std. Err. L. Limit U. Limit 0.59459459 0.057074141 0.50071599 0.6884732 After running the confidence interval, write a complete sentence explaining the confidence

 

interval and what it estimates.

 

Hypothesis Test #2 ? A Claim of the Difference between two Population Proportions

 

The second hypothesis test deals with categorical data and will test a claim of a difference

 

between two population proportions. A contingency table for your claim must be included as one

 

of your tables in section ASSOCIATIONS BETWEEN VARIABLES.

 

In the example here, the claim is that there is a greater percentage of Flagler College

 

students who support employer rights to look up a potential employee on social media among

 

those students who have not had a negative experience due to a social media post as compared to

 

those students who have had a negative experience due to a social media post. Therefore, the

 

two different populations are ?Flagler College students with negative online experience? and

 

?Flagler College students without negative online experience? and the variable is ?Support

 

employer rights.? MAT 223 FINAL PROJECT 7

 

Write a paragraph in complete sentences that introduces your hypothesis test. Please

 

include in the introduction the null and alternate hypothesis in words and the level of

 

significance (typically ? = 0.05), state if the test is right, left, or two tailed, and reference the

 

graph associated with the test. Then, check the necessary conditions.

 

Two sample proportion hypothesis test:

 

p1 : Proportion of successes (Success = Yes) for Employer Rights where Negative = "No"

 

p2 : Proportion of successes (Success = Yes) for Employer Rights where Negative = "Yes"

 

p1 - p2 : Difference in proportions

 

H0 : p1 - p2 = 0

 

HA : p1 - p2 > 0

 

Hypothesis test results:

 

Difference Count1 Total1 Count2 Total2

 

p1 - p2 36 45 17 Sample

 

Diff. Std. Err. Z-Stat Pvalue 27 0.17037037 0.10729027 1.5879386 0.0562 After running the test, make a statement in regards to rejecting or failing to reject the null

 

hypothesis. Finally state a conclusion. Your conclusion always refers back to the statement of

 

the claim.

 

Confidence Interval #2 ?Estimate the Difference between two Population Proportions

 

The second confidence interval deals with categorical data and estimate the difference

 

between two population proportions. Regardless of your test results, it is always good to

 

estimate the population proportion using a confidence interval. Write a paragraph in complete

 

sentences that introduces the confidence interval you plan to construct identifying the level of

 

significance you plan to use. Next, check the necessary conditions.

 

Two sample proportion confidence interval:

 

p1 : Proportion of successes (Success = Yes) for Employer Rights where Negative = "No"

 

p2 : Proportion of successes (Success = Yes) for Employer Rights where Negative = "Yes"

 

p1 - p2 : Difference in proportions

 

90% confidence interval results: MAT 223 FINAL PROJECT 8

 

Difference Count1 Total1 Count2 Total2

 

p1 - p2 36 45 17 Sample

 

Diff. Std. Err. 27 0.17037037 0.11041943 L. Limit U. Limit -0.0112534 0.35199417 After running the confidence interval, write a complete sentence explaining the confidence

 

interval and what it estimates. CONCLUSION

 

The conclusion given here is an overall conclusion/reflection to what you found. The

 

conclusion is short and to the point. If a recommendation needs to be made based on your

 

research, this is the location where the recommendation should be made. Furthermore,

 

recommendations for redesigning the study should also be included here.

 


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