Question

A statistics graduate student conducted an experiment about graduate students who lived on campus. After taking a simple random sample of 65 students, she found that twelve students lived on campus. What is the standard error she calculated?

Answer 1

Answer: The standard error (SE) is 0.048.

Step-by-step explanation: The standard error is an error that occur by random chance. In a sample where only some of the population is "experimented", the sample proportion estimates the population proportion.

The formula to find the standard error is:

SE = $\sqrt{\frac{p(1-p)}{n} }$, where p is the sample proportion and n is the total of the sample of the population.

The sample proportion is

p= $\frac{12}{65}$ = 0.18

So,

SE = $\sqrt{\frac{0.18(1-0.18)}{65} }$

SE = 0.048

The standard error of this experiment is SE = 0.048