After taking a random start between 1 and 20 and then taking every 20th element from the sampling frame,Smith learned that 40% of the sample believed the company's president was doing a good job.The calculated standard error was 3 percent.This means that:
A)between 37% and 43% of the employees believe the president is doing a good job.
B)you are 95% certain that between 37% and 43% of the employees believe the president is doing a good job.
C)you are 68% certain that between 37% and 43% of the employees believe the president is doing a good job.
D)you are 99% certain that between 37% and 43% of the employees believe the president is doing a good job.
E)none of these choices are correct.

Question

Quizplus · Accepted Answer

The standard error of 3 percent around a sample proportion of 40% suggests a 68% confidence interval (one standard deviation from the mean in a normal distribution) for the true proportion, which would be between 37% (40%-3%) and 43% (40%+3%).

After Taking a Random Start Between 1 and 20 and Then