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, 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.
   • Project Part II Worksheet(Links to an external site.)
3. • 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)

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.

Provisional Number of Live Births, Deaths, Marriages and Divorces. Each State, D.C. and Puerto Rico November 2021 Data Live Births Deaths Marriages Divorces Alabama 7,330 9,379 1,612 2,967 Alaska 7,090 5,900 134 911 Arizona 5,895 6,286 1,764 3,297 Arkansas 8,259 7,032 1,654 2,998 California 25,527 21,827 9,368 19,869 Colorado 6,883 8,128 2,923 5,240 Connecticut 6,883 7,880 1,518 5,309 Delaware 2,048 3,662 249 1,630 District of Columbia 1,907 2,081 145 1,433 Florida 8,769 9,627 8,831 9,599 Georgia 6,006 7,339 1,805 5,964 Hawaii 4,048 4,099 1,043 2,697 Idaho 2,002 2,471 118 1,284 Illinois 6,870 8,950 2,026 5,089 Indiana 6,981 8,163 1,476 4,756 lowa 6,083 8,844 1,063 5,118 Kansas 3,992 5,525 442 3,697 Kentucky 8,525 5,887 2,062 4,403 Louisiana 5,861 5,295 1,697 4,086 Maine 3,037 3,561 120 2,588 Maryland 6,383 7,888 1,582 5,008 Massachuse tts 6,903 8,166 2,072 4,981 Michigan 6,133 8,571 2,206 5,016 Minnesota 6,533 7,629 664 5,606 Mississippi 3,603 3,946 562 2,775 Missouri 6,017 6,553 1,420 4,811 Montana 1,941 2,666 119 1,153 Nebraska 6,153 7,541 404 5,117 Nevada 8,139 9,172 8,697 4,950 New Hampshire 2,259 2,573 102 1,086 New Jersey 6,920 7,181 1,636 3,611New Hampshire 2,259 2,573 102 1,086 New Jersey 6,920 7,181 1,636 3,611 New Mexico 2,903 3,370 263 1,247 New York 19,255 19,454 2,578 10,601 North Carolina 7,125 7,768 1,499 5,772 North Dakota 1,648 2,179 101 1,230 Ohio 10,946 11,391 4,193 5,204 Oklahoma 4,020 5,418 1,083 2,987 Oregon 3,915 4,445 1,272 3,162 Pennsylvani a 16,245 16,911 4,287 9,031 Rhode Island 2,097 2,571 465 1,619 South Carolina 6,896 7,246 3,071 4,851 South Dakota 2,850 2,839 104 1,606 Tennessee 8,050 9,376 2,327 7,235 Texas 19,637 22,099 7,546 16,303 Utah 3,822 3,715 968 2,709 Vermont 2,933 3,559 560 1,648 Virginia 9,072 10,469 2,246 7,814 Washington 5,144 7,516 1,787 5,063 West Virginia 3,972 5,391 2,679 3, 738 Wisconsin 4,972 7,341 2,282 4,025 Wyoming 1,818 2,670 191 1,587 Puerto Rico 3,462 6,674 2,562 1,601