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Chapter 08

Multiple Choice

1. A researcher is conducting a study to determine the mean trough dosage of medication for a population. Assuming a previous study was conducted for the same medication and the mean trough dose was found to be 490 mg with a standard deviation of 50 mg, calculate the margin of error for a 95% confidence interval assuming the previous study enrolled 600 individuals.

a. E = ± 4.19

b. E = ± 63.57

c. E = ± 4.00

d. E = ± 0.27

2. A researcher is conducting a study to determine the mean trough dosage of medication for a population. Assume a previous study was conducted for the same medication and the mean trough dose was found to be 300 mg with a standard deviation of 30 mg. If the researcher wants to be 95% confident the true mean trough dosage of the medication is within 10 mg of the true mean trough dosage, what sample size is needed?

a. n = 35

b. n = 23

c. n = 47

d. n = 62

3. A researcher is conducting a study to determine the mean trough dosage of medication for a population. Assume a previous study was conducted for the same medication and the mean trough dose was found to be 490 mg with a standard deviation of 30 mg. If the researcher wants to be 95% confident the true mean trough dosage of the medication is within 10 mg of the true mean trough dosage, what sample size is needed if the study is predicted to have an 76% retention rate?

a. n = 50

b. n = 71

c. n = 47

d. n = 104

4. A researcher wants to calculate the prevalence of Alzheimer’s among members of a specific community who are 65 years of age and older. The researcher needs to know how many individuals who are 65 years of age or older need to be recruited for the study to ensure the estimated prevalence will be within 1.0% of the true proportion. Calculate the sample size needed by the researcher if a national study has shown 10.73% of individuals 65 years of age have Alzheimer’s based on a 95% CI of the true proportion.

a. n = 152

b. n = 1010

c. n = 2673

d. n = 3680

5. A clinical trial is being conducted in order to determine the efficacy of a new drug that will be used to treat rheumatoid arthritis. The efficacy of the medication will not only be determined by the physical improvement of symptoms but will also be determined by using a blood test to examine the concentration of C-reactive protein (an inflammatory marker) in an individual’s blood. If the researcher wants a margin of error for the level of C-reactive protein to be less than or equal to 1.5 mg/d and if the standard deviation for C-reactive protein concentrations among arthritis patients was previously documented at 6 mg/dL, how many patients should be recruited for each group of individuals in the study, assuming a 95% confidence interval will be used to quantify the mean differences between the control group and the treatment group?

a. n for the treatment group = 95 and n for the control group = 95

b. n for the treatment group = 123 and n for the control group = 123

c. n for the treatment group = 47 and n for the control group = 48

d. n for the treatment group = 48 and n for the control group = 47

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