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 WorksheetLinks to an external site.
3. • Complete 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) make 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 September 2022 Live Births Deaths Marriages Divorces Alabama 7,458 6,583 1,890 2,972

Alaska 7,214 4,141 158 914 Arizona 5,998 4,411 2,068 3,304 Arkansas 8,402 4,934 1,940 3,004 California 25,971 15,318 10,985 19,906 Colorado 7,002 5,704 3,428 5,250 Connecticut 7,002 5,530 1,780 5,319 Delaware 2,084 2,569 292 1,634 District of Columbia 1,940 1,459 171 1,436 Florida 8,922 6,757 10,355 9,617 Georgia 6,111 5,150 2,115 5,976 Hawaii 4,119 2,877 1,223 2,703 Idaho 2,036 1,734 139 1,287 Illinois 6,991 6,282 2,375 5,099 Indiana 7,101 5,730 1,730 4,765 Iowa 6,189 6,207 1,246 5,128 Kansas 4,060 3,878 518 3,704 Kentucky 8,674 4,132 2,418 4,411 Louisiana 5,964 3,715 1,990 4,094 Maine 3,090 2,499 141 2,592 Maryland 6,494 5,536 1,855 5,018 Massachusetts 7,022 5,731 2,430 4,991 Michigan 6,239 6,014 2,586 5,026 Minnesota 6,647 5,354 778 5,617 Mississippi 3,666 2,769 659 2,780 Missouri 6,122 4,599 1,665 4,820 Montana 1,974 1,871 141 1,155 Nebraska 6,260 5,293 474 5,126 Nevada 8,279 6,437 10,198 4,960 New Hampshire 2,300 1,806 120 1,087 New Jersey 7,039 5,040 1,918 3,618 New Mexico 2,954 2,365 308 1,248 New York 19,589 13,653 3,024 10,621 North Carolina 7,249 5,452 1,758 5,783 North Dakota 1,678 1,530 119 1,233 Ohio 11,136 7,994 4,917 5,214 Oklahoma 4,090 3,803 1,271 2,992 Oregon 3,983 3,120 1,492 3,169 Pennsylvania 16,527 11,868 5,026 9,049 Rhode Island 2,133 1,804 546 1,622 South Carolina 7,015 5,086 3,601 4,860 South Dakota 2,901 1,993 121 1,609 Tennessee 8,191 6,580 2,728 7,249 Texas 19,978 15,509 8,848 16,334 Utah 3,888 2,608 1,134 2,714 Vermont 2,984 2,497 658 1,651 Virginia 9,228 7,348 2,633 7,829 Washington 5,234 5,275 2,094 5,072 West Virginia 4,039 3,784 3,142 3,745 Wisconsin 5,057 5,152 2,675 4,032 Wyoming 1,851 1,874 224 1,589 Puerto Rico 3,524 4,684 3,005 1,604