PART 1 INSTRUCTIONS:
Introduction–Provide a description of the data you were provided and discuss what you know about the chosen topic.
Sample Data—Provide the 50 data values on your worksheet. You must provide ALL of your sample data.
Problem Computations—For the topic, you must answer the following:
Determine the mean and standard deviation of your sample.
Find the 80%, 95%, and 99% confidence intervals.
Make sure to list the margin of error for the 80%, 95%, and 99% confidence interval.
Create your own confidence interval (you cannot use 80%, 95%, and 99%) and make sure to show your work. Make sure to list the margin of error.
Provide a sentence for each confidence interval created which explains what the confidence interval means in context of topic of your project.
Problem Analysis—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?
PART 2 INSTRUCTIONS:
Complete the summary table for 1. Live Births, 2. Deaths, 3. Marriages, and 4. Divorces highlighting the mean, median, sample/population standard deviation, n = number of states that submitted data for each the data sets.
Summary Table for _________
Mean
Median
Standard Deviation
n (Number of States who submitted Data)
Hypothesis Testing
With the information that you gather from the summary tables, test the following (you can use excel when appropriate):
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.
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.
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.
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.
For each of the tests above, in your report, be sure to—
Clearly state a null and alternative hypothesis
Give the value of the test statistic
Report the P-Value
Clearly state your conclusion (Reject the Null or Fail to Reject the Null)
Explain what your conclusion means in context of the data.
Make your OWN Claim (You are completing ONE more Hypothesis Test)
Lastly, propose and conduct your own test of hypothesis.
a) Pick one data set: Births, Deaths, Marriages OR Divorces.
b) Write a claim about the data set.
c) For your claim—
Clearly state a null and alternative hypothesis
Give the value of the test statistic
Report the P-Value
Clearly state your conclusion (Reject the Null or Fail to Reject the Null)
Explain what your conclusion means in context of the data.
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