Question

A researcher is creating a new treatment protocol for Myelodysplastic Syndrome (MDS), a form of preleukemia.
Following the old treatment protocol, 32% of patients with MDS will develop leukemia within 5 years of MDS diagnosis. He believes his new treatment protocol will lead to fewer MDS patients developing leukemia. He takes a random sample of 100 individuals on his new treatment protocol. Of these 100 individuals, 27 develop leukemia within 5 years of MDS diagnosis.

Create a 99% confidence interval for the true proportion of all MDS patients on this treatment who will develop leukemia within 5 years of MDS diagnosis.

1. What is the 99% confidence interval?

2. What is the correct interpretation of the confidence interval from question 1?

3. Are the assumptions met? Explain.

Conduct a hypothesis test at the 0.10 significance level to test this claim.

4. What are the hypotheses?

5. What is the significance level? A. 0.01

B. 0.04 C. 0.05 D. 0.10

6. What is the value of the test statistic?

7. What is the p-value?

8. What is the correct decision?
A. Reject the Null Hypothesis
B. Fail to Reject the Null Hypothesis C. Accept the Null Hypothesis
D. Accept the Alternative Hypothesis

9. What is the appropriate conclusion/interpretation?

10.Are the assumptions met? Explain.

Use the following information for questions 11-20: The average cholesterol level in the general US population is 189 mg/dL. A researcher wants to see if the average cholesterol for men in the US is different from 189 mg/dL. She takes a sample of 81 American males and finds a sample mean of 194 mg/dL and a sample standard deviation of 10.4.

Create a 99.8% confidence interval for the true average cholesterol level of the general US male population.

11.What is the 99.8% confidence interval?

12.What is the correct interpretation of the confidence interval from question 11?

13.Are the assumptions met? Explain.

Conduct a hypothesis test at the 0.01 significance level to test the researcher’s question.

14.What are the hypotheses?

15.What is the significance level? A. 0.01

B. 0.04 C. 0.05 D. 0.10

16.What is the value of the test statistic?

17.What is the p-value?

18.What is the correct decision?
A. Reject the Null Hypothesis
B. Fail to Reject the Null Hypothesis

C. Accept the Null Hypothesis
D. Accept the Alternative Hypothesis

19.What is the appropriate conclusion/interpretation?

20.Are the assumptions met? Explain.

PLEASE ELABORATE ON THE ASSUMPTION AND P-VALUE QUESTIONS.

Answer 1

Conclusion : there is insufficient evidence to conclude that  new treatment protocol will lead to fewer MDS patients developing leukemia.