# Final Project-Math 1150-Elementary Statistics

Math 1150 – Elementary Statistics

Final Project

For this assignment you will again develop and test a formal

hypothesis using a statistical

method appropriate to your research question.

For this project we will again be working through the

scientific method: Develop a research question Construct a hypothesis Design an

experiment or study Collect Data Carry out a hypothesis test Interpret the

results

Essentially you will be completing Group Project 3

(including any needed supporting work from

Group Projects 1 and 2) again BUT with NEW data AND this

project will be completed

INDIVIDUALLY so that I can verify that everyone can complete

any step of the process on their

own. You are certainly welcome to design and administer

another survey to collect you data for

this Final Project BUT you can also use existing data from a

database that was collected by

someone else. That is just that much less you have to do.

While the methods used for Group

Project 3 (t-tests and Z-tests for means and proportions)

will be the most familiar to you, you are

welcome to use ANY of vthe methods discussed in the course.

These include not only t-tests and

Z-tests for means and proportions but also Chi-Squared

tests, ANOVA, and t-tests on regression

parameters.

Remember that you may find data by collecting or measuring

it yourself, or using data from a

database collected by someone else. Be sure that you have

enough data to draw meaningful

inferences.

Here are some websites that contain raw data but you are

welcome to use other sources of data

such a sports or financial data.

Integrated Public Use Microdata Series

U.S. Census Bureau

Carnegie Mellon Data and Story Library

U.S. Geological Survey http://usa.ipums…./usa/

http://www.census.gov/

http://lib.stat.cmu.edu/DASL/

http://www….gs.gov/ National Historical Geographic

Information System https://www.nhgis…./

Minnesota Population Center:

https://www.pop.umn.edu/ Just as with each of the previous

group projects, you will submit a word document that contains

your writing as well as charts, graphs, tables, and

statistical output that was created in other

programs and copied and pasted into your word document.

Since this will be an INDIVIDUAL

project, there is no specific need for you to work on the

Google Drive for this one. Use the APA

Template posted in Moodle as a MS Word file type posted

under the Final Project block for this

project, it has all the headings and formatting done for

you.

Here are some notes for this assignment specifically: I am

NOT expecting you to do

background research (ie. Literature Review) for this

project, unless you really want to.

In your Purpose section you will develop a “testable”

hypothesis in your “I hypothesize that…”

statement. A “testable” hypothesis is something that can be

measured and compared using

formal hypothesis tests like t, Z, Chi-Squared, and ANOVA.

In your Design/Analysis section be sure to say what type of

test you are planning to perform (t,

Z, ? 2 , or F). In your Results section limit your

descriptive statistics to only those that are relevant to the data

needed to investigate the research questions you have chosen

for this project as well as a

statement of your hypothesis test in symbols and the

statistical output from the software you used

to conduct the hypothesis test.

So, In the Results section be sure to list the following for

EACH category of data as well as the

data as a whole. (In the football example you would provide

the following for the offensive

players and the defensive players as well as the team as a

whole.)

Table of summary statistics including the following:

Mean ( ? )

Standard Deviation ( ? )

Mode (if it exists)

Five-Number-Summary: (Min, Q1, Median, Q3, Max)

Range (= Max – Min)

Interquartile Range (IQR = Q3-Q1)

Bounds for outliers: Lower Bound ¿ ??2.5 ?

Upper Bound ¿ ?+2.5 ?

Histogram (also describe the shape of the distribution near

your histogram)

Boxplot (including fences for outliers if needed, remember

these are)

Lower Fence = Q1 – 1.5xIQR Upper Fence = Q3 + 1.5xIQR

Outliers are marked as stars on the box plot.

Any other charts or graphs you think will be relevant and

helpful to your argument.

Also in the Results section display the following:

You do NOT need to construct any 95% confidence intervals

for this project, only a

formal statement of your hypothesis test using mathematical

symbols. An example it

might look something like this:

H 0 : ? 1=?2

H 1 : ?1 ? ? 2

Use a significance level of ? =.05 when carrying out your

hypothesis tests.

Display the output from the statistical software you used to

carry out your hypothesis test. Make

sure this output includes the following:

2

Type of test (ie, t, F, Z, ? ¿

Degrees of Freedom (if necessary)

Value of the test statistic

P-value

NOTE: Be sure to label your tables and graphs as “Table 1”

and “Figure 3” so they can be

easily referred to in the Discussion section.

In the Discussion section remember that the first paragraph

should be a summary of your

findings from the results section in relation to your

research question. Are your results statistically significant? (This is the

conclusion of your hypothesis test.

Is your p-value less than 0.05, can you reject the null

hypothesis?) Are your results clinically significant? (This is your

interpretation of the conclusion of

your hypothesis test. What do those results mean in the

context of your research

question?)

One of the goals of this course is for you to use statistics

as evidence in a larger argument and

this is the section where you get to do that! In APA style,

just like citing sources of information,

you must cite the results of a statistical test. The

following website has some excellent

description about how to do this.

http://my.ilstu.edu/~jhkahn/apastats.html

Also address any outliers in your Discussion section. Do you

have any outliers? If so, discuss

them here. Are they plausible? How do they impact your

results? Should they be left out? The Scientific Writing Rubric will be used to

evaluate your paper in final grading by the course

instructor. All sections are appropriate!

Be sure to address all the following areas from the APA

Template. Title Page

Abstract

Introduction (An “Introduction” heading not used in an APA

manuscript instead the Main Title

from the title page is listed here again and centered. )

Literature Review (optional)

Purpose of Study

Methods

Participants

Design/Analysis

Procedure

Results (see instructions below for elaboration of the

Results section)

Discussion (see instructions below for elaboration of the

Discussion section)

Implication for Practice

References (if any, but not required for this assignment)

Appendix (if needed, i.e. Survey Instrument)

Length: 3 page minimum (including the title page, 12 pt

double spaced, the template is already

formatted like this.)