quiz

FSU Math 924 Spring 2021 Midterm Exam Name: Click here to enter text.

Note: The exam has 2 tasks. For Task II, you will first need to do the homework from class 8.

Task I: Determine whether Aspirin prevents the formation of new polyps in colon cancer patient.

When colon cancer advances to a more severe state it forms more so-called polyps in the gut. Here are some data from a clinical trial that tested whether taking Aspirin would prevent or reduce new polyp formation in colon cancer patients.

The researchers enrolled 635 colon cancer patients in the trial and randomly assigned half of them (317) to receive the drug (Aspirin) for 6 months and the other half (318) to receive a placebo. After 6 months they examined whether new polyps had formed in the guts of the patients during that time.

Here are the results of the study in summary form:

Clinical Trial Format: Prospective study

 

 

 

# of patients enrolled in the study

635

# of patients receiving aspirin

317

# of patients receiving placebo

318

 

 

RESULTS

 

# of patients who received aspiring developing polyps

54

# of patients who received aspiring not developing polyps

263

 

 

# of patients who received placebo developing polyps

86

# of patients who received placebo not developing polyps

232

Questions and Tasks:

1. How many variables does the study have?

2. List the variables and the possible values / outcomes / for each variable

Variable 1: outcomes/values:

Variable 2: outcomes/values:

(If you think there are more variables, add more lines)

3. Classify the kind of data produced by the study. (Click on a box to add a check mark)

Are these:

☐ Categorical data?

☐ Continuous, numerical data?

4. What kind of summary statistics do these data produce?

☐ A table with counts, row proportions, column proportions and joint proportions

☐ Mean, median, standard deviations, range and percentiles

5. Determine what kind of statistical analysis can be done to answer the question posed in Task II.

(Check all that apply)

☐ Test whether the difference between two means is significant

☐ Test whether two proportions are significantly different

☐ Determine whether the variables are associated

☐ Determine whether the variables are correlated

6. List the hypothesis test(s) you will perform for the statistical analysis you picked in Q5.

7. State the null hypothesis and the alternative hypothesis for the test(s).

H0:

HAlt:

8. Select the significance level for your test.

Significance level α=

9. Perform the test, using Minitab, Excel or a website of your choice.

10. Provide the summary statistics for the data (paste here from Minitab or Excel).

11. Provide the results of the statistical analysis test that are relevant for your answer. Paste them below.

12. Draw your conclusion about the outcome of the hypothesis test.

13. Draw your conclusion about the research questions asked in the title. State the relevant statistical parameters that support your conclusion.

14. If you determined that Aspirin does indeed prevent polyp formation in colon cancer patients, state the risk ratio (by how many fold the risk of polyp formation is reduced when taking Aspirin as compared to not taking Aspirin).

15. Extra Credit: If you do obtain a risk ratio in question 14, include the 95% confidence intervals for that number.