(Solution) MATH 399N Week 8 Discussion: Regression

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 Deathsscreenshot of CDC website toolbar
  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,
    screenshot of National Vital Statistics Reports webpage
  1. Pick the same month/year combination for each data set. For example, choosing September of 2009.screenshot of example dataset
  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.

 

Solution:

The data selected for this discussion is the relationship between obesity and diabetes. The source of the data is: https://assets.publishing.service.gov.uk/government/uploads/system/uploads/attachment_data/file/338934/Adult_obesity_and_type_2_diabetes_.pdf (Links to an external site.)

Weight status Adults with type 2 diabetes in  2009 (%)
Healthy weight  (BMI 22) 10
Overweight (BMI 27) 27
Obese (BMI 32) 63

 

In this dataset, while the independent variable is obesity, the dependent variable is diabetes. Without drawing a scatter plot, I would expect a positive correlation between obesity and…Please click the icon below to purchase full answer at only $5