Statistics and Probability - Statistics
I will provide you with data on an excel sheet that highlights births, deaths, marriages and divorces along with Course Project Part II Worksheet Template (attached).
Fill out the worksheet.
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
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
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 ___________ .
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
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.
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.
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.
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.
Sheet1
Provisional Number of Live Births, Deaths, Marriages and Divorces.
Each State, D.C. and Puerto Rico July 2021
Live Births Deaths Marriages Divorces
Alabama 5,230 7,807 2,148 2,348
Alaska 4,089 4328 320 292
Arizona 4,890 4,714 2,300 2,678
Arkansas 5,087 5,460 2,190 2,379
California 20,789 20,255 10,254 19,250
Colorado 5,878 6,556 3,459 4,621
Connecticut 5,878 6,308 2,054 4690
Delaware 1,043 2090 785 1011
District of Columbia 547 509 330 814
Florida 7,764 8,055 9,016 8,980
Georgia 5,001 5,767 2,341 5,345
Hawaii 3,043 2527 1,579 2078
Idaho 997 899 654 665
Illinois 5,865 7,378 2,562 4,470
Indiana 5,976 6,591 2,012 4137
Iowa 5,078 7,272 1,599 4499
Kansas 2,987 3,953 978 3,078
Kentucky 5,015 4,315 2,598 3,784
Louisiana 4,856 3,723 2,233 3,467
Maine 2,032 1989 585 1969
Maryland 5,378 6,316 2,118 4,389
Massachusetts 5,898 6,594 2,608 4,362
Michigan 5,128 6,999 2,742 4,397
Minnesota 5,528 6,057 1,200 4987
Mississippi 2,598 2,374 1,098 2156
Missouri 5,012 4,981 2,147 4,192
Montana 936 1094 416 534
Nebraska 5,148 5,969 940 4,498
Nevada 7,134 7,600 9,472 4,331
New Hampshire 1,254 1001 287 467
New Jersey 5,915 5,609 2,172 2,992
New Mexico 1,898 1,798 799 628
New York 16,190 17,882 3,114 9,982
North Carolina 6,120 6,196 2,035 5,153
North Dakota 643 607 298 611
Ohio 9,941 9,819 4,729 4,585
Oklahoma 3,015 3,846 1,619 2,368
Oregon 2,910 2,873 1,808 2,543
Pennsylvania 13,789 15,339 4,823 8,412
Rhode Island 1,092 999 1001 1000
South Carolina 5,891 5,674 3,607 4,232
South Dakota 1,845 1267 174 987
Tennessee 7,045 7,804 2,863 6,616
Texas 16,198 20,527 9,238 15,684
Utah 2,817 2,143 1,504 2090
Vermont 1,928 1987 1,096 1,029
Virginia 8,067 8,897 2,782 7,195
Washington 4,139 5,944 2,323 4,444
West Virginia 2,967 3,819 3,215 3,119
Wisconsin 3,967 5,769 2,818 3,406
Wyoming 813 1098 727 968
Puerto Rico 2,457 5,102 3,098 982
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