The document provides preliminary calculations and hypothesis tests for live births, deaths, marriages, and divorces in the United States and territories. It includes summary tables with mean, median, standard deviation, minimum, maximum, and sample size for each category. It then lists five hypothesis tests to determine if there is sufficient evidence to conclude the average values for each category based on sample data and selected significance levels.

1. Course Project, Part II
Preliminary Calculations
Round Preliminary Values to the nearest whole number.
Summary Table for:
Live Births
Mean
Median
Sample Standard Deviation
Minimum
Maximum
Sample Size
Summary Table for:
Deaths
Mean
Median
Sample Standard Deviation
Minimum
Maximum
Sample Size

2. Summary Table for:
Divorces
Mean
Median
Sample Standard Deviation
Minimum
Maximum
Sample Size
Summary Table for:
Marriages
Mean
Median
Sample Standard Deviation
Minimum
Maximum
Sample Size

3. Hypothesis Testing
With the information that you gather from the Summary Tables
above, test the following (you can use excel when appropriate):
Hypothesis Test #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.
Step 1: Clearly state a null and alternative hypothesis, identify
the claim, and the type of test.
Ho: μ ≥ ≤ =
Ha: μ < > ≠
Circle One: Left Tailed Test Right Tailed Test
Two-Tailed Test
Step 2: Determine the Rejection Region
Pick ONE multiple choice answer below and fill in the critical
value. Round Critical Value to two decimal places.
a) Reject Ho if Z ___________
b) Reject Ho if Z ___________
c) Reject Ho if Z is less than ___________ or greater than

4. ___________ .
Step 3: Give the value of the test statistic and the P-Value
Z = _____________ P-Value =
______________
Step 4: Clearly state your conclusion
Circle One: Reject the Null Hypothesis….. OR…… Fail to
Reject the Null Hypothesis
Step 5: Explain what your conclusion means in context of the
data.
There _______ (IS/IS NOT) sufficient statistical evidence to
________ (SUPPORT/REJECT) the claim that the average
amount of births is _________ (GREATER THAN/LESS
THAN/EQUAL TO) 5000 in the United States and territories at
the 0.05 level of significance.
Hypothesis Test #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.
Step 1: Clearly state a null and alternative hypothesis, identify
the claim, and the type of test.
Ho: μ ≥ ≤ =
Ha: μ < > ≠
Circle One: Left Tailed Test Right Tailed Test
Two-Tailed Test

5. Step 2: Determine the Rejection Region
Pick ONE multiple choice answer below and fill in the critical
value. Round Critical Value to two decimal places.
a) Reject Ho if Z ___________
b) Reject Ho if Z ___________
c) Reject Ho if Z is less than ___________ or greater than
___________ .
Step 3: Give the value of the test statistic and the P-Value
Z = ___________________ P-Value =
_____________________
Step 4: Clearly state your conclusion
Circle One: Reject the Null Hypothesis….. OR…… Fail to
Reject the Null Hypothesis
Step 5: Explain what your conclusion means in context of the
data.
There _______ (IS/IS NOT) sufficient statistical evidence to
________ (SUPPORT/REJECT) the claim that the average
amount of deaths is _________(GREATER THAN/LESS
THAN/EQUAL TO) 6000 in the United States and territories at
the 0.10 level of significance.

6. Hypothesis Test #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.
Step 1: Clearly state a null and alternative hypothesis, identify
the claim, and the type of test.
Ho: μ ≥ ≤ =
Ha: μ < > ≠
Circle One: Left Tailed Test Right Tailed Test
Two-Tailed Test
Step 2: Determine the Rejection Region
Pick ONE multiple choice answer below and fill in the critical
value. Round Critical Value to two decimal places.
a) Reject Ho if Z ___________
b) Reject Ho if Z ___________
c) Reject Ho if Z is less than ___________ or greater than
___________ .
Step 3: Give the value of the test statistic and the P-Value
Z = ____________________ P-Value =
______________________

7. Step 4: Clearly state your conclusion
Circle One: Reject the Null Hypothesis….. OR…… Fail to
Reject the Null Hypothesis
Step 5: Explain what your conclusion means in context of the
data.
There _______ (IS/IS NOT) sufficient statistical evidence to
________ (SUPPORT/REJECT) the claim that the average
amount of marriages is _________ (GREATER THAN/LESS
THAN/EQUAL TO) 2500 in the United States and territories at
the .05 level of significance.
Hypothesis Test #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.
Step 1: Clearly state a null and alternative hypothesis, identify
the claim, and the type of test.
Ho: μ ≥ ≤ =
Ha: μ < > ≠
Circle One: Left Tailed Test Right Tailed Test
Two-Tailed Test
Step 2: Determine the Rejection Region
Pick ONE multiple choice answer below and fill in the critical

8. value. Round Critical Value to two decimal places.
a) Reject Ho if Z ___________
b) Reject Ho if Z ___________
c) Reject Ho if Z is less than ___________ or greater than
___________ .
Step 3: Give the value of the test statistic and the P-Value
Z = ___________________ P-Value=
__________________
Step 4: Clearly state your conclusion
Circle One: Reject the Null Hypothesis….. OR…… Fail to
Reject the Null Hypothesis
Step 5: Explain what your conclusion means in context of the
data.
There _______ (IS/IS NOT) sufficient statistical evidence to
________ (SUPPORT/REJECT) the claim that the average
amount of divorces is _________ (GREATER THAN/LESS
THAN/EQUAL TO) 4000 in the United States and territories at
the 0.10 level of significance.
Hypothesis Test #5: Make-Up Your Own Test
Determine if there is sufficient evidence to conclude the

9. average amount of ________________ is
_______________________ in the United States and territories
at the ________ level of significance.
Step 1: Clearly state a null and alternative hypothesis, identify
the claim, and the type of test.
Ho: μ ≥ ≤ =
Ha: μ < > ≠
Circle One: Left Tailed Test Right Tailed Test
Two-Tailed Test
Step 2: Determine the Rejection Region
Pick ONE multiple choice answer below and fill in the critical
value. Round Critical Value to two decimal places.
a) Reject Ho if Z ___________
b) Reject Ho if Z ___________
c) Reject Ho if Z is less than ___________ or greater than
___________ .
Step 3: Give the value of the test statistic and the P-Value
Z = _______________________ P-Value =
____________________
Step 4: Clearly state your conclusion
Circle One: Reject the Null Hypothesis….. OR…… Fail to

10. Reject the Null Hypothesis
Step 5: Explain what your conclusion means in context of the
data.
There _______ (IS/IS NOT) sufficient statistical evidence to
________ (SUPPORT/REJECT) the claim that the average
amount of ________________ is _____________________
(GREATER THAN/LESS THAN/EQUAL TO) ____________
in the United States and territories at the ________ level of
significance.
Sheet1Provisional Number of Live Births, Deaths, Marriages
and Divorces.Each State, D.C. and Puerto Rico July 2021
Live
BirthsDeathsMarriagesDivorcesAlabama5,2307,8072,1482,348A
laska4,0894328320292Arizona4,8904,7142,3002,678Arkansas5,
0875,4602,1902,379California20,78920,25510,25419,250Colora
do5,8786,5563,4594,621Connecticut5,8786,3082,0544690Delaw
are1,04320907851011District of
Columbia547509330814Florida7,7648,0559,0168,980Georgia5,
0015,7672,3415,345Hawaii3,04325271,5792078Idaho99789965
4665Illinois5,8657,3782,5624,470Indiana5,9766,5912,0124137I
owa5,0787,2721,5994499Kansas2,9873,9539783,078Kentucky5,
0154,3152,5983,784Louisiana4,8563,7232,2333,467Maine2,032
19895851969Maryland5,3786,3162,1184,389Massachusetts5,89
86,5942,6084,362Michigan5,1286,9992,7424,397Minnesota5,52
86,0571,2004987Mississippi2,5982,3741,0982156Missouri5,012
4,9812,1474,192Montana9361094416534Nebraska5,1485,96994
04,498Nevada7,1347,6009,4724,331New
Hampshire1,2541001287467New
Jersey5,9155,6092,1722,992New Mexico1,8981,798799628New
York16,19017,8823,1149,982North
Carolina6,1206,1962,0355,153North

11. Dakota643607298611Ohio9,9419,8194,7294,585Oklahoma3,015
3,8461,6192,368Oregon2,9102,8731,8082,543Pennsylvania13,7
8915,3394,8238,412Rhode Island1,09299910011000South
Carolina5,8915,6743,6074,232South
Dakota1,8451267174987Tennessee7,0457,8042,8636,616Texas1
6,19820,5279,23815,684Utah2,8172,1431,5042090Vermont1,92
819871,0961,029Virginia8,0678,8972,7827,195Washington4,13
95,9442,3234,444West
Virginia2,9673,8193,2153,119Wisconsin3,9675,7692,8183,406
Wyoming8131098727968Puerto Rico2,4575,1023,098982