Requirements – Compile a data set of 20 points (observations, cases, study subjects, etc.) or more with two (2) quantitative variables (2 variables are needed for probability calculations and regression analysis).

Goal: Apply Methods learned from Chapters 3 through 14 to a data set gathered or provided by a reliable source (Examples: https://www.kaggle.com/datasets ; www.census.gov; www.cdc.gov; etc. please not Wikipedia! Thank you!) and write an explanation of the results.

(Length:7 -10 pages narrative; Tables-Charts-Figures separate)             Final Paper Due: 05/11/2020 Submit to DROP BOX on SAKAI

INCLUDE SEPARATE COVER PAGE TO INCLUDE:

PROJECT TITLE

Submitted to:

<Professor Statistics>                           211: Section 05

May 11, 2020

by:   Your Name

Student ID No.

***REMEMBER to INSERT PAGE NUMBERS IN FINAL PAPER***

1. Abstract n = Maximum 150 words – brief description of proposed study-at least 5 sentences.

(Total 10 points) Example Lead Sentence for the Abstract or Summary: This study will investigate the relationship between x and y variables. This research will explore how x affects y. This analysis will explore the association between x and y.

Introduction/Background: Brief (at least 2-3 pages) (20 points)

1. State the problem based on preponderance of evidence (at least 3 literature citations within the last 5 years). Literature Review – summarized in two or three paragraphs (reliable sources located on https://www.libraries.rutgers.edu/indexes/google_scholar

Use RU Net ID and log-in to access articles for free i.e. Get it @ R.

1. Who or what is the unit of analysis — what is the topic being
2. Where are the data collected from, including the source website?
3. When were the data collected–what time frame, i.e. year,
4. Hypotheses: – quantify by setting a threshold value, i.e. >, <, =

NOTE: Formulate at least 3 Hypotheses, with Ho (null) and Ha: (alternative) stated.

Methods – i.e. Data Analysis Portion (40 points)

Describe the data — i.e. Who or what is unit of analysis–what is being compared (such as US States and then the two variables, such as percent poverty, percent unemployed by US State). Provide the data table. ( 4 points)

Ø  Please note: Need to include all formulas used. Formulas can be typed or cut and paste from the course slides, or web-source, if correct. Step-by-Step Calculations are not required, but can help explain how applied.

• Please do not insert pictures of hand-written formulas and calculations in the Word
• No credit will be given if not legible. Thank you.

1. From Chapters: (8 points) for both variables

• Compute relative frequency, mean, standard deviation, range, inter-quartile range, lower and upper limit values, box plot and bar or pie chart.

b.   From Chapter 4: (4 points)

• Analyze the data set with at least two types of probability
• (Note: no points for application of f/N rule).

c.   From Chapters 5, 6 and 7: (Choose 2 Methods: 4 points)

• Discrete Random Variables, Mean and Standard Deviation
• Binomial Distribution
• Poisson Distribution
• Bernoulli Trials
• Percentiles, Z-scores

d.   From Chapter 8: (Choose 2 Methods: 4 points)

• Create a Normal Probability Plot
• Calculate the Population Mean, the Confidence Interval either sigma known or unknown
• Apply the t-interval procedure

e.   From Chapter 9: (Both Methods: 4 points)

• Formulate Hypothesis Test (left, right or two-tailed)
• Find the Critical Value for either Z-test, t-test or W-test (determine which is most appropriate)

f.  From Chapter 10: (Both Methods: 4 points)

• Compare population data sets using independent samples (need a comparison data set to the one you selected of at least 20 points)
• Apply either Pooled t-test or Paired t-test

g.   From Chapter 12: (Choose 2 Methods: 4 points)

• Compute the Sample Proportion
• Calculate the Sampling Distribution of the Sample Proportion
• Use the One-proportion z-Interval Procedure to calculate the confidence interval
• Find the Margin of Error for the Estimate of p

h.   From Chapter 14: (All 4 Methods: 8 points)

• Construct the scatter plot
• Calculate the regression line
• Calculate the coefficient of determination
• Compute the correlation coefficient

1. Results (2-3 pages) 10 points)
   1. Describe findings from
   2. What are the significant results–what are NOT significant

Discussion or Interpretation of the Results (2-3 pages) (10 points)

1. Are the two variables related?
2. Why is the research question important?
3. How do these statistical methods answer your research question? How do these methods illustrate or explain the objective of your paper?
4. What are the limitations of the study? What other variables can be included?
5. What is the broader impact of the study? Who can benefit from this research?
6. What future studies can be generated from the results of your research?

Research investigators consult the existing body of knowledge or conduct a literature search first when developing and testing hypotheses, to extend, replicate and build on existing empirical research (i.e. based on hypothesis testing) —either quantitative or qualitative.

1. References – Bibliography (6-10 references at least 50% from last five years) (10 points)

Citation Format: Author Last Name, First Initial (Year). Article title. Journal or Newspaper, Vol no., page numbers.

Please do not copy and past the URL (i.e. the web address for the citation). A citation in that format will not receive credit or any points.

EXAMPLE BELOW:

Picket, K.E., Wilkinson, R.G. (2015). Income inequality and health: a causal review. Social Science and Medicine, 128, 316-326.

Types of articles for possible citation are:

1. Citations on the topic being studied;
2. Scholarly articles discussing application of statistical method chosen to test your