Required Resources Read/review the following resources for this activity: Please see the attachments below as they may be used to complete this assignment.Scenario/Summary Hypothesis Testing is the us

Course Project, Part I

Introduction

(REMOVE THIS LINE PRIOR TO SUBMITTING REPORT: Provide a description of your topic and cite where you found your data.)

Sample Data

(REMOVE THIS LINE PRIOR TO SUBMITTING REPORT: List ALL your sample data)

Computations

(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:

95% Confidence Interval:

95% Confidence Interval Margin of Error:

99% Confidence Interval:

99% Confidence Interval Margin of Error:

______% Confidence Interval:

______% Confidence Interval Margin of Error:

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

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

Ho: μ ≥ ≤ =

Ha: μ < > ≠

Step 2: Reject Ho if Z ______________________

Step 3: Give the value of the test statistic and the P-Value

Z =

Step 4: Clearly state your conclusion

Reject the Null ….. OR…… Fail to Reject the Null

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

Ho: μ ≥ ≤ =

Ha: μ < > ≠

Step 2: Reject Ho if Z ______________________

Step 3: Give the value of the test statistic and the P-Value

Z =

Step 4: Clearly state your conclusion

Reject the Null ….. OR…… Fail to Reject the Null

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

Ho: μ ≥ ≤ =

Ha: μ < > ≠

Step 2: Reject Ho if Z ______________________

Step 3: Give the value of the test statistic and the P-Value

Z =

Step 4: Clearly state your conclusion

Reject the Null ….. OR…… Fail to Reject the Null

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

Ho: μ ≥ ≤ =

Ha: μ < > ≠

Step 2: Reject Ho if Z ______________________

Step 3: Give the value of the test statistic and the P-Value

Z =

Step 4: Clearly state your conclusion

Reject the Null ….. OR…… Fail to Reject the Null

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

Ho: μ ≥ ≤ =

Ha: μ < > ≠

Step 2: Reject Ho if Z ______________________

Step 3: Give the value of the test statistic and the P-Value

Z =

Step 4: Clearly state your conclusion

Reject the Null ….. OR…… Fail to Reject the Null

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.