(Answered) MATH399N Week 7 Assignment: Course Project Part II

Required Resources

Read/review the following resources for this activity:

• Textbook: Chapter 9
• Lesson

Scenario/Summary

This week you will submit the second part of the course project. You completed Part I in Week 6 and will complete Part II this week.

Hypothesis Testing is the use of statistics to determine the probability that a given claim is true.

In Part II of this project, you will choose a data set, review claims and perform hypothesis testing and 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.

Deliverables

1. Choose a Data Set.
1. Go to https://www.cdc.gov/nchs/products/nvsr.htm (Links to an external site.)
2. In the search bar type: Births, Marriages, Divorces, and Deaths

1. Pick a DataSet and download the PDF document and make note of the volume, number, and date. For example you could use the National Vital Statistics Reports,
1. Pick the same month/year combination for each data set. For example, choosing September of 2009.

1. Preliminary Calculations
1. Create a summary table for 1. Live Births, 2. Deaths, 3. Marriages, and 4. Divorces highlighting the mean, median, sample standard deviation, minimum and maximum values for each the data sets. You will have FOUR tables using the list of values of each state, the District of Columbia and Puerto Rico (You will have 52 numbers for each data set).
 Summary Table for _________ Mean Median Standard Deviation Minimum Maximum
1. Hypothesis Testing

With the information that you gather from the summary tables, test the following (you can use excel when appropriate):

1. 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.
2. 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.
3. 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.
4. 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.

Lastly, propose and conduct your own test of hypothesis about the Birth, Death, Marriage and Divorce data that you have been analyzing. Make sure to follow the five steps above.

Required Software

Microsoft Office: Word and Excel

Solution:

Week 7 Assignment: Course Project Part II

Births, marriages, divorces, and deaths: Provisional data for September 2009

 Summary Table for _Live Births___ Mean 7047 Median 4936 Standard Deviation 8358 Minimum 519 Maximum 46117

 Summary Table for _Deaths____ Mean 35116 Median 24886.5 Standard Deviation 35581.64 Minimum 2718 Maximum 172700

 Summary Table for _Marriages____ Mean 3970.35 Median 2687.5 Standard Deviation 3913.25 Minimum 152 Maximum 19775

 Summary Table for _Divorces_____ Mean 1537.33 Median 1251 Standard Deviation 1427.5 Minimum 102 Maximum 7082

Hypothesis Testing

1. 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.

Sample size (n) = 52

Sample mean = 7047

Sample standard deviation (s) = 8358

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