## Explain why you made your decision including the results for your p-value method or the critical value method.

In this module you will begin working on Phase 2 of your course project. Using the same data set and variables for your selected topic, add the following information to your analysis:

1. Discuss the importance of constructing confidence intervals for the population mean.

· What are confidence intervals?

· What is a point estimate?

· What is the best point estimate for the population mean? Explain.

· Why do we need confidence intervals?

2. Based on your selected topic, evaluate the following:

· Find the best point estimate of the population mean.

· Construct a 95% confidence interval for the population mean. Assume that your data is normally distributed and σ, the population standard deviation, is unknown.

· Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.

· Write a statement that correctly interprets the confidence interval in context of your selected topic.

3. Based on your selected topic, evaluate the following:

· Find the best point estimate of the population mean.

· Construct a 99% confidence interval for the population mean. Assume that your data is normally distributed and σ, the population standard deviation, is unknown.

· Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.

· Write a statement that correctly interprets the confidence interval in context of your selected topic.

4. Compare and contrast your findings for the 95% and 99% confidence interval.

· Did you notice any changes in your interval estimate? Explain.

· What conclusion(s) can be drawn about your interval estimates when the confidence level is increased? Explain.

In this module you will begin working on Phase 3 of your course project. Using the same data set and variables for your selected topic, add the following information to your analysis:

1. Discuss the process for hypothesis testing.

· Discuss the 8 steps of hypothesis testing?

· When performing the 8 steps for hypothesis testing, which method do you prefer; P-Value method or Critical Value method? Why?

2. Perform the hypothesis test.

· If you selected Option 1:

· Original Claim: The average salary for all jobs in Minnesota is less than \$65,000.

· Test the claim using α = 0.05 and assume your data is normally distributed and σ, the population standard deviation, is unknown.

· If you selected Option 2:

· Original Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age.

· Test the claim using α = 0.05 and assume your data is normally distributed and σ, the population standard deviation, is unknown.

3. Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.

3. Is the test two-tailed, left-tailed, or right-tailed? Explain.

3. Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.

3. What is the value of the test-statistic? What is the P-value?

3. What is the critical value?

3. What is your decision; reject the null or do not reject the null?

3. Explain why you made your decision including the results for your p-value method or the critical value method.

3. State the final conclusion in non-technical terms.

Please show your work for the construction of the test-statistic and explain your process for finding the p-value and critical value. Be sure to use the Equation Editor to format your equations.

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