The administrator at Sacred Heart Hospital is interested in estimating the proportion of patients who are satisfied with the meals at the hospital. A random sample of 250 patients was selected and the patients were surveyed. Of these, 203 indicated that they were satisfied. Based on this, what is the estimate of the standard error of the sampling distribution?
A) 0.8120
B) 0.0247
C) 0.0006
D) Can't be determined without knowing σ.

Question

Quizplus · Accepted Answer

The standard error (SE) of the proportion in a sampling distribution can be calculated using the formula SE = sqrt[p(1-p)/n], where p is the sample proportion and n is the sample size. Here, p = 203/250 = 0.812, so SE = sqrt[0.812(1-0.812)/250] = 0.0247.

The Administrator at Sacred Heart Hospital Is Interested in Estimating