You will complete a Course Project in this course that will span two weeks. The project is broken into two parts. You will complete Part I in Week 6 and Part II in Week 7. In Week 6, Confidence Intervals will be explored and in Week 7 Hypothesis testing will be explored.
A confidence interval is a defined range of values such that there is a specified probability that the value of a parameter lies within the interval.
In Part I of this project, you will analyze data, complete research and provide a write-up that includes calculations.
Deliverables
1. Your professor will provide you with 50 pieces of data. Email your professor at the beginning of Week 6 if you did not receive the 50 pieces of data for Course Project Part I.
2. Please complete the provided worksheet.
o Project Part I Worksheet (Links to an external site.)
Introduction–Provide a description of the data you were provided and discuss what you know about the chosen topic.
Sample DataProvide the 50 data values on your worksheet. You must provide ALL of your sample data.
Problem ComputationsFor the topic, you must answer the following:
o Determine the mean and standard deviation of your sample.
o Find the 80%, 95%, and 99% confidence intervals.
o Make sure to list the margin of error for the 80%, 95%, and 99% confidence interval.
o Create your own confidence interval (you cannot use 80%, 95%, and 99%) and make sure to show your work. Make sure to list the margin of error.
o Provide a sentence for each confidence interval created which explains what the confidence interval means in context of topic of your project.
Problem AnalysisWrite a half-page reflection.
o What trend do you see takes place to the confidence interval as the confidence level rises? Explain mathematically why that takes place.
o Explain how Part I of the project has helped you understand confidence intervals better?
o How did this project help you understand statistics better?
Hypothesis Testing is the use of statistics to determine the probability that a given claim is true.
In Part II of this project, your professor will provide you with a data set and you will review claims and perform hypothesis testing to make a decision. You will then complete a write-up that includes the calculations.
The government logs the number of documented births, deaths, marriages and divorces however it is possible to have undocumented cases. In part II of this project, you are going to test claims about total births, deaths, marriages and divorces.
1. Your professor will provide you with the Births, Marriage, Divorce and Death data. Email your professor at the beginning of Week 7 if you did not receive the data for Course Project Part II.
2. Preliminary Calculations. Please complete the worksheet.
o Project Part II Worksheet (Links to an external site.)
1.
o Complete the summary table for 1. Live Births, 2. Deaths, 3. Marriages, and 4. Divorces highlighting the mean, median, sample/population standard deviation, n = number of states that submitted data for each the data sets.
Summary Table for _________
Mean
Median
Standard Deviation
n (Number of States who submitted Data)
3. Hypothesis Testing
With the information that you gather from the summary tables, test the following (you can use excel when appropriate):
a. Determine if there is sufficient evidence to conclude the average amount of births is over 5000 in the United States and territories at the 0.05 level of significance.
b. Determine if there is sufficient evidence to conclude the average amount of deaths is equal to 6000 in the United States and territories at the 0.10 level of significance.
c. Determine if there is sufficient evidence to conclude the average amount of marriages is greater or equal to 2500 in the United States and territories at the .05 level of significance.
d. Determine if there is sufficient evidence to conclude the average amount of divorces is less than or equal to 4000 in the United States and territories at the 0.10 level of significance.
For each of the tests above, in your report, be sure to
1. Clearly state a null and alternative hypothesis
2. Give the value of the test statistic
3. Report the P-Value
4. Clearly state your conclusion (Reject the Null or Fail to Reject the Null)
5. Explain what your conclusion means in context of the data.
4. Make your OWN Claim (You are completing ONE more Hypothesis Test)
Lastly, propose and conduct your own test of hypothesis.
a) Pick one data set: Births, Deaths, Marriages OR Divorces.
b) Write a claim about the data set.
c) For your claim
1. Clearly state a null and alternative hypothesis
2. Give the value of the test statistic
3. Report the P-Value
4. Clearly state your conclusion (Reject the Null or Fail to Reject the Null)
5. Explain what your conclusion means in context of the data.
