According to an​ article, 74​% of high school seniors have a​driver's license. Suppose we take a random sample of 100 high school seniors and find the proportion who have a​ driver's license. Find the probability that more than 78​% of the sample have a​ driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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According to an​ article, 74​% of high school seniors have a​driver's license. Suppose we take a random sample of 100 high school seniors and find the proportion who have a​ driver's license. Find the probability that more than 78​% of the sample have a​ driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample Proportions have been met.

The probability that more than 78​% of the sample have a​driver's license is ___ ​(Type an integer or decimal rounded to three decimal places as​ needed.)

 

According to an article, 74% of high school seniors have a driver's license. Suppose we take a random sample of 100 high school seniors and find the proportion who have a driver's
license. Find the probability that more than 78% of the sample have a driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample Proportions have
been met.
First, verify that the conditions of the Central Limit Theorem are met.
The Random and Independent condition holds assuming independence.
The Large Samples condition holds
The Big Populations condition
can
reasonably be assumed to hold.
The probability that more than 78% of the sample have a driver's license is
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:According to an article, 74% of high school seniors have a driver's license. Suppose we take a random sample of 100 high school seniors and find the proportion who have a driver's license. Find the probability that more than 78% of the sample have a driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample Proportions have been met. First, verify that the conditions of the Central Limit Theorem are met. The Random and Independent condition holds assuming independence. The Large Samples condition holds The Big Populations condition can reasonably be assumed to hold. The probability that more than 78% of the sample have a driver's license is (Type an integer or decimal rounded to three decimal places as needed.)
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