Course Project, Part I

Introduction

(REMOVE THIS LINE PRIOR TO SUBMITTING REPORT: Summarize what you have learned about confidence intervals. Discuss why it would be important to know the population mean of the data used for this term. Is this an important health measure?)

Sample Data

(REMOVE THIS LINE PRIOR TO SUBMITTING REPORT: List ALL of the sample data in the table below.)

Directions:

1. Use the table above to create an 80%, 95%, and 99% confidence interval.

2. Choose another confidence level (besides 80%, 95% or 99%) to create another confidence interval.

3. Provide a sentence for each confidence interval created above which explains what the confidence interval means in context of topic of your project.

Computations

(Round all values to TWO decimal places)

(REMOVE THIS LINE PRIOR TO SUBMITTING REPORT: Calculate each of the following.)

Sample Mean =

Sample Standard Deviation =

80% Confidence Interval:

80% Confidence Interval Margin of Error:

Sentence:

95% Confidence Interval:

95% Confidence Interval Margin of Error:

Sentence:

99% Confidence Interval:

99% Confidence Interval Margin of Error:

Sentence:

______% Confidence Interval:

______% Confidence Interval Margin of Error:

Sentence

Problem Analysis

(REMOVE THESE LINES PRIOR TO SUBMITTING REPORT: Write a half-page reflection. What trend do you see takes place to the confidence interval as the confidence level rises? Explain mathematically why that takes place. Explain how Part I of the project has helped you understand confidence intervals better? How did this project help you understand statistics better?)

Course Project, Part II

Preliminary Calculations

Round Preliminary Values to the nearest whole number.

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.