A Survey Claims That 9 of 10 Doctors Recommend Aspirin

question 18

Multiple Choice

A survey claims that 9 of 10 doctors recommend aspirin for their patients with headaches. To test this claim against the alternative, that the actual proportion of doctors who recommend aspirin is less than 0.90, a random sample of 100 doctors results in 83 who indicate that they recommend aspirin. What is the approximate value of the test statistic in this ?

• A) -2.33
• B) -1.86
• C) -1.67
• D) -0.14

---

Definitions:

Bell-Shaped

A bell-shaped curve is a graph of a distribution that resembles the shape of a bell, typically representing a normal distribution in which the bulk of the values lie towards the center and taper off symmetrically towards the extremes.

Standard Deviation

A measure of the dispersion or variability within a set of numerical data, indicating how spread out the values are.

Mean

The arithmetic average of a set of numbers, found by dividing the sum of all the numbers by the count of the numbers.

Population Variance

A measure of the dispersion of a set of data points in a population, calculated as the average of the squared deviations from the mean.