Question

Twenty-five percent of primary care doctors think their patients receive unnecessary medical care. If required, round your answer to four decimal places.

Suppose a sample of 300 primary care doctors was taken. Show the distribution of the sample proportion of doctors who think their patients receive unnecessary medical care.

Answer 1

To show the distribution of the sample proportion of doctors who think their patients receive unnecessary medical care, use the formula for the standard error of the sample proportion and plot it on a normal distribution curve.

Step-by-step explanation:

To show the distribution of the sample proportion of doctors who think their patients receive unnecessary medical care, we need to use the formula for the standard error of the sample proportion. In this case, the proportion of doctors who think their patients receive unnecessary medical care is 25%, so the sample proportion would be 0.25. The formula for the standard error of the sample proportion is:

SE = sqrt((p*(1-p))/n)

Where SE stands for standard error, p is the sample proportion, and n is the sample size. Plugging in the values, we get:

SE = sqrt((0.25*(1-0.25))/300)

Calculating this value gives us the standard error of the sample proportion. To show the distribution, we can use a normal distribution curve and plot the sample proportion on the x-axis and the probability density on the y-axis.