Question

She wishes to estimate the proportion of horses with enteroliths who are fed at least two flakes of alfalfa per day. In a sample of 62 horses with enteroliths, she finds 42 are fed two or more flakes of alfalfa. She estimates the standard error to be:

0.0594.
0.0035.
0.2185.
0.4675.

Answer 1

Answer:

0.0594.

Step-by-step explanation:

The standard error of a proportion p, in a sample of size n, is given by:

$SE_{p} = \sqrt{\frac{p(1-p)}{n}}$

In a sample of 62 horses with enteroliths, she finds 42 are fed two or more flakes of alfalfa.

This means that $n = 62, p = \frac{42}{62} = 0.6774$

So

$SE_{p} = \sqrt{\frac{p(1-p)}{n}}$

$SE_{p} = \sqrt{\frac{0.6774*0.3226}{62}} = 0.0594$

So the correct answer is:

0.0594.