Which of the following is the correct formula for the margin of error in the interval estimation of p?

Multiple Choice

zα / 2p (  1 −  p )n− 1−−−−−−√z⁢α⁢ / 2p⁢ (  1⁢ −  p⁢ )n⁢− 1

zα / 2p¯ (  1 −  p¯ )n −  1 −−−−−−−√z⁢α⁢ / 2p¯⁢ (  1⁢ −  p¯⁢ )n⁢ −  1⁢ 

zα / 2p (  1 −  p )n−−−−−−√z⁢α⁢ / 2p⁢ (  1⁢ −  p⁢ )n

zα / 2p¯ (  1 −  p¯ )n−−−−−−−√

Respuesta :

The correct formula for the margin of error in the interval estimation of p is Za/2 √p(1-p)/n.

Interval estimation:

Interval estimation refers the evaluation of a parameter—for example, the mean (average)—of a population by computing an interval, or range of values, within which the parameter is most likely to be located.

Given,

Here we need to find the correct formula for the margin of error in the interval estimation of p.

In order to find the correct formula for the margin of error, we have to know the definition of the margin of error,

Margin of error states that "a statistical measurement that accounts for the difference between actual and projected results in a random survey sample."

According to this definition, we have identified that the correct formula, for the margin of error in the interval estimation P is written as,

=> Za/2 √p(1-p)/n.

To know more about Interval estimation here

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