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A sample of 1001 adults conducted in 2016 asked "Do you mainly agree or disagree that your health has been improved thanks to research over the course of your lifetime?" We know the proportion p-hat of the sample who answer "somewhat agree" will vary in repeated sampling, in repeated sampling, the sample proportion, p- hat, has an approximately normal distribution with mean 0.41 and standard deviation 0.016. (a) Find the probability that at least 0.426 of the random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime. (b) Find the probability.that at most 0.378 of the random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime. (c) Find the probabiity that between 0.387 and 0.433 of a random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime.

A sample of 1001 adults conducted in 2016 asked "Do you mainly agree or disagree that your health has been improved thanks to research over the course of your lifetime?" We know the proportion p-hat of the sample who answer "somewhat agree" will vary in repeated sampling, in repeated sampling, the sample proportion, p- hat, has an approximately normal distribution with mean 0.41 and standard deviation 0.016. (a) Find the probability that at least 0.426 of the random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime. (b) Find the probability.that at most 0.378 of the random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime. (c) Find the probabiity that between 0.387 and 0.433 of a random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A sample of 1001 adults conducted in 2016 asked "Do you mainly agree or disagree that your health has been improved thanks to research over the course of your lifetime?" We know the proportion p-hat of the sample who answer "somewhat agree" will vary in repeated sampling. in repeated sampling, the sample proportion, p- hat, has an approximately normal distribution with mean 0.41 and standard deviation 0.016. (a) Find the probability that at least 0.426 of the random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime. (b) Find the probability.that at most 0.378 of the random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime. (c) Find the probabiity that between 0.387 and 0.433 of a random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime.
Transcribed Image Text:A sample of 1001 adults conducted in 2016 asked "Do you mainly agree or disagree that your health has been improved thanks to research over the course of your lifetime?" We know the proportion p-hat of the sample who answer "somewhat agree" will vary in repeated sampling. in repeated sampling, the sample proportion, p- hat, has an approximately normal distribution with mean 0.41 and standard deviation 0.016. (a) Find the probability that at least 0.426 of the random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime. (b) Find the probability.that at most 0.378 of the random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime. (c) Find the probabiity that between 0.387 and 0.433 of a random sample of 1001 adults somewhat agrees that health has been improved thanks to research over the course of their lifetime.
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