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Suppose 50% of politicians are lawyers.

If a random sample of size 780 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%? Round your answer to four decimal places.

Respuesta :

The probability that the proportion of politicians who are lawyers will differ from the total politician's proportion by less than 4% will be 0.9742.

What is the probability?

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

[tex]\rm P'= \sqrt{ \frac{1-P}{n} }\\\\ P'=\sqrt{ \frac{1-0.5}{780} }\\\\P'=0.0179[/tex]

⇒P(-2.23 < z < 2.23)

⇒P(z < 2.23) - P(z < -2.23)

⇒0.9871 - 0.0129

⇒0.9742

Hence, the total politician's proportion by less than 4% will be 0.9742.

To learn more about probability, refer to the link: https://brainly.com/question/795909.

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