Question

In a random sample of 250 students, 150 were in favor of longer hours at the school library. At 98% level of confidence, what is the margin of error?

Select one:

0.051


0.080


0.065


0.072


0.078


0.061

Answer 1

0.072 is the margin of error.

What is standard error?

The standard error (SE) of a statistic is the standard deviation of its sampling distribution or an estimate of that standard deviation.

According to the question,

In a random sample of 250 students,

p= 0.98 (or 98%) were in favor of longer hours at the school library.

The standard error of p(the sample proportion) is (approximately)

The standard error of p =   $\sqrt{\frac{p(1-p)}{n} }$

p = 0.98

1 - p = 1 - 0.98 = 0.02

Here,

n = 250

The standard error of p =   $\sqrt{ \frac{0.98 (0.02) }{250}$

The standard error of p ≈   0.072

Therefore,

The margin of error is 0.072.

Learn more about is standard error here:

https://brainly.com/question/14524236

#SPJ1