HSRT - Health Sciences Reasoning Quantitative Clinical Reasoning Questions and Answers 1 — Questions and Answers
Question 1: A clinical trial for a new antihypertensive drug reports that the treatment group (n=200) had a mean systolic blood pressure reduction of 15 mmHg, while the placebo group (n=200) had a mean reduction of 5 mmHg. The p-value for the difference between the groups was p < 0.01. Which of the following is the most accurate interpretation of the p-value?
- There is a greater than 99% probability that the new drug is effective.
- The observed difference in blood pressure reduction between the two groups is statistically significant. (Correct answer)
- The study proves that the drug is clinically superior to the placebo.
- There is less than a 1% chance that the study results are wrong.
Correct answer: The observed difference in blood pressure reduction between the two groups is statistically significant.
A p-value less than 0.01 indicates that there is a less than 1% probability that the observed difference between the treatment and placebo groups occurred by random chance alone. Therefore, the result is considered statistically significant. It does not directly state the probability of the drug's effectiveness or prove clinical superiority, which involves other factors.
Question 2: A patient is prescribed a medication at a dose of 250 mg to be taken orally twice a day. The medication is available in a liquid suspension with a concentration of 125 mg/5 mL. How many milliliters (mL) should the patient take for each dose?
- 5 mL
- 15 mL
- 10 mL (Correct answer)
- 20 mL
Correct answer: 10 mL
The required dose is 250 mg. The concentration of the medication is 125 mg per 5 mL. To find the volume for a 250 mg dose, you can set up a proportion: (125 mg / 5 mL) = (250 mg / X mL). Solving for X gives: 125X = 1250, so X = 10 mL. Therefore, the patient needs to take 10 mL for each dose.
Question 3: In a screening test for a certain disease, the sensitivity is 95% and the specificity is 90%. Which of the following statements is the best interpretation of this information?
- The test correctly identifies 90% of all patients who do not have the disease. (Correct answer)
- The test will be positive in 95% of the entire population.
- If a patient tests positive, there is a 95% chance they have the disease.
- 90% of patients with the disease will test positive.
Correct answer: The test correctly identifies 90% of all patients who do not have the disease.
Specificity measures the ability of a test to correctly identify those without the disease (true negatives). A specificity of 90% means that among individuals who do not have the disease, 90% will correctly test negative. Sensitivity (95% in this case) refers to the test's ability to correctly identify those *with* the disease.
Question 4: A hospital unit tracks the number of patient falls per 1,000 patient-days. In January, there were 4 falls and 2,000 patient-days. In February, there were 6 falls and 2,500 patient-days. What is the fall rate per 1,000 patient-days for February?
- 2.0 falls
- 2.4 falls (Correct answer)
- 6.0 falls
- 0.0024 falls
Correct answer: 2.4 falls
To calculate the fall rate per 1,000 patient-days, use the formula: (Number of Falls / Total Patient-Days) * 1,000. For February, this is (6 falls / 2,500 patient-days) * 1,000 = 0.0024 * 1,000 = 2.4 falls per 1,000 patient-days.
Question 5: A study is conducted to evaluate the effectiveness of a new physical therapy program. The results show that the average patient increases their range of motion by 15 degrees, with a 95% confidence interval of degrees. What is the most appropriate conclusion from this data?
- The study is inconclusive because the confidence interval is too wide.
- All patients in the program will improve their range of motion by at least 12 degrees.
- The study is flawed because the average improvement is not exactly in the middle of the interval.
- We are 95% confident that the true average improvement in range of motion for the population is between 12 and 18 degrees. (Correct answer)
Correct answer: We are 95% confident that the true average improvement in range of motion for the population is between 12 and 18 degrees.
A 95% confidence interval provides a range of values within which we can be 95% certain the true population mean lies. It does not guarantee results for any single individual but provides an estimate for the average effect across the entire population from which the sample was drawn.
Question 6: A patient's lab results show a white blood cell (WBC) count of 12.5 x 10^3/μL. The normal reference range for WBC is 4.5 to 11.0 x 10^3/μL. Based on this quantitative data, the patient's WBC count is best described as:
- Within the normal range.
- Significantly below the normal range.
- Slightly above the normal range. (Correct answer)
- Critically low.
Correct answer: Slightly above the normal range.
The patient's result of 12.5 x 10^3/μL is higher than the upper limit of the normal range, which is 11.0 x 10^3/μL. This condition is known as leukocytosis. The value is slightly, not significantly, above the normal range.
A clinical trial for a new antihypertensive drug reports that the treatment group (n=200) had a mean systolic blood pressure reduction of 15 mmHg, while the placebo group (n=200) had a mean reduction of 5 mmHg.
The p-value for the difference between the groups was p < 0.01.
Which of the following is the most accurate interpretation of the p-value?