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Mnenie [13.5K]
2 years ago
14

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
Mathematics
1 answer:
Wewaii [24]2 years ago
3 0

0.072 is the margin of error.

<h3>What is standard error?</h3>

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:

brainly.com/question/14524236

#SPJ1

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