Statistics Question
Provisional Number of Live Births, Deaths, Marriages and DivorceEach State, D.C. and Puerto Rico
September 2022
Alabama
Alaska
Arizona
Arkansas
California
Colorado
Connecticut
Delaware
District of Columbia
Florida
Georgia
Hawaii
Idaho
Illinois
Indiana
Iowa
Kansas
Kentucky
Louisiana
Maine
Maryland
Massachusetts
Michigan
Minnesota
Mississippi
Missouri
Montana
Nebraska
Nevada
New Hampshire
New Jersey
New Mexico
New York
North Carolina
North Dakota
Ohio
Oklahoma
Oregon
Pennsylvania
Live Births
7,458
7,214
5,998
8,402
25,971
7,002
7,002
2,084
1,940
8,922
6,111
4,119
2,036
6,991
7,101
6,189
4,060
8,674
5,964
3,090
6,494
7,022
6,239
6,647
3,666
6,122
1,974
6,260
8,279
2,300
7,039
2,954
19,589
7,249
1,678
11,136
4,090
3,983
16,527
Deaths Marriages
6,583
1,890
4,141
158
4,411
2,068
4,934
1,940
15,318
10,985
5,704
3,428
5,530
1,780
2,569
292
1,459
171
6,757
10,355
5,150
2,115
2,877
1,223
1,734
139
6,282
2,375
5,730
1,730
6,207
1,246
3,878
518
4,132
2,418
3,715
1,990
2,499
141
5,536
1,855
5,731
2,430
6,014
2,586
5,354
778
2,769
659
4,599
1,665
1,871
141
5,293
474
6,437
10,198
1,806
120
5,040
1,918
2,365
308
13,653
3,024
5,452
1,758
1,530
119
7,994
4,917
3,803
1,271
3,120
1,492
11,868
5,026
Divorces
2,972
914
3,304
3,004
19,906
5,250
5,319
1,634
1,436
9,617
5,976
2,703
1,287
5,099
4,765
5,128
3,704
4,411
4,094
2,592
5,018
4,991
5,026
5,617
2,780
4,820
1,155
5,126
4,960
1,087
3,618
1,248
10,621
5,783
1,233
5,214
2,992
3,169
9,049
Rhode Island
South Carolina
South Dakota
Tennessee
Texas
Utah
Vermont
Virginia
Washington
West Virginia
Wisconsin
Wyoming
Puerto Rico
2,133
7,015
2,901
8,191
19,978
3,888
2,984
9,228
5,234
4,039
5,057
1,851
3,524
1,804
5,086
1,993
6,580
15,509
2,608
2,497
7,348
5,275
3,784
5,152
1,874
4,684
546
3,601
121
2,728
8,848
1,134
658
2,633
2,094
3,142
2,675
224
3,005
1,622
4,860
1,609
7,249
16,334
2,714
1,651
7,829
5,072
3,745
4,032
1,589
1,604
ages and Divorces.
MATH399: Course Project Part II Worksheet
Name: ________________________________
Date: ________________
Preliminary Calculations
Round Preliminary Values to the nearest whole number.
Summary Table for:
Mean
Median
Sample Standard
Deviation
Minimum
Maximum
Sample Size
Live Births
Summary Table for:
Mean
Median
Sample Standard
Deviation
Minimum
Maximum
Sample Size
Marriages
Summary Table for:
Mean
Median
Sample Standard
Deviation
Minimum
Maximum
Sample Size
Summary Table for:
Mean
Median
Sample Standard
Deviation
Minimum
Maximum
Sample Size
©2021 Chamberlain University
Deaths
Divorces
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. (Circle the appropriate symbol or erase the incorrect symbols).
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 Reject the Null Hypothesis
©2021 Chamberlain University
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. (Circle the appropriate symbol or erase the incorrect symbols).
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 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.
©2021 Chamberlain University
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 = ______________________
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.
©2021 Chamberlain University
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 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.
©2021 Chamberlain University
Hypothesis Test #5: Make-Up Your Own Test
Determine if there is sufficient evidence to conclude the 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 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.
©2021 Chamberlain University
