Preliminary Calculations
Round Preliminary Values to the nearest whole number.
| Summary Table for: | Deaths |
| Mean | 5,078 |
| Median | 4,987 |
| Sample Standard Deviation | 3,151 |
| Minimum | 1,459 |
| Maximum | 15,509 |
| Sample Size | 264,039 |
| Summary Table for: | Live Births |
| Mean | 6,569 |
| Median | 6,156 |
| Sample Standard Deviation | 4,760 |
| Minimum | 1,678 |
| Maximum | 25,971 |
| Sample Size | 341, 599 |
| Summary Table for: | Divorces |
| Mean | 4,549 |
| Median | 4,063 |
| Sample Standard Deviation | 3,547 |
| Minimum | 914 |
| Maximum | 19,906 |
| Sample Size | 236,532 |
| Summary Table for: | Marriages |
| Mean | 2,291 |
| Median | 1,818 |
| Sample Standard Deviation | 2,580 |
| Minimum | 119 |
| Maximum | 10,985 |
| Sample Size | 119,110 |
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
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.
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.
