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Statistics And Probability

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.
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