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 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
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

Round Preliminary Values to the nearest whole number. Summary Table for: Live Births Summary Table for: Deaths Mean 6,569 Mean 5,078 Median 6,156 Median 4,987 Sample Standard 4760.08146 Sample Standard Deviation Deviation 3,151 Minimum 1,687 Minimum 1,459 Maximum 25.971 Maximum 15,509 Sample Size Sample Size Summary Table for: Marriages Summary Table for: Divorces Mean 2,291 Mean 4,549 Median 1,818 Median 4,063 Sample Standard Sample Standard Deviation 2580.336909 Deviation 3547.341454 Minimum 119 Minimum 914 Maximum 10,985 Maximum 19,906 Sample Size Sample Size