Math 399n statistics | Statistics homework help

Week 7 Assignment: Course Project Part II

COURSE PROJECT PART I UPLOADED BELOW

Please use November 2009 for Project Part 2.   

Here is the link and the data tables that you need are at the end in Table 1 (1a and 1b) and Table 2 (2a and 2b)..

Products – National Vital Statistics Report – Volume 58 Number 23 (cdc.gov)

EBOOK: OpenStax, Introductory Statistics. OpenStax CNX. Aug 23, 2019

https://openstax.org/books/introductory-statistics/pages/1-introduction

Remember that your dataset must have at least 50 values in it and you should have completed the portion on confidence intervals.

Week 7 Project

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.

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

    screenshot of CDC website toolbar

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

    screenshot of example dataset

  6. Preliminary Calculations
  7. Create a 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. You will have FOUR tables using the list of values of each state, the District of Columbia and Puerto Rico (You could have 52 numbers for each data set. You may have less data numbers if not all states/territories submitted data values.)

Summary Table for _________Mean Median Standard Deviation n (Number of States who submitted Data) 

  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.

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.

Criteria

Choose a Data Set & Preliminary Data: Proficient. Student computes all 4 Preliminary Data Values.

Hypothesis Testing: Proficient. Completes 4 Hypothesis Tests highlighting the null/alternate hypothesis, value of test statistic, and report p-value.

Hypothesis Testing Analysis: Proficient. State correct conclusion (Reject/Fail to Reject) and valid explanations in context of the data for ALL 4 Problems.

Proposal and computations for new hypothesis test: Proficient. Student creates an original Hypothesis Test based on one of the data sets highlighting the null/alternate hypothesis, value of test statistic, report p-value, conclusion, and explanation.

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