A survey company is asked to estimate the percentage of people in a certain large population that have red hair. Let p be the proportion of redheads in the population. The survey decides to take a simple random sample of 1000 people from the population, and use pˆ, the proportion of redheads in the sample, as their estimate of p. Find the approximate probability that the absolute value of the error |pˆ−p| is less than three percentage points (0.03.) (Note: The value of p is not given and you may need it in your computation. You could decide one reasonable value to use. Either look for relevant information online or estimate its value in some way. Please justify your option!)
A survey company is asked to estimate the percentage of people in a certain large population that have red hair. Let p be the proportion of redheads in the population. The survey decides to take a simple random sample of 1000 people from the population, and use pˆ, the proportion of redheads in the sample, as their estimate of p. Find the approximate probability that the absolute value of the error |pˆ−p| is less than three percentage points (0.03.) (Note: The value of p is not given and you may need it in your computation. You could decide one reasonable value to use. Either look for relevant information online or estimate its value in some way. Please justify your option!)
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 survey company is asked to estimate the percentage of people in a certain large
population that have red hair. Let p be the proportion of redheads in the population. The
survey decides to take a simple random sample of 1000 people from the population, and use
pˆ, the proportion of redheads in the sample, as their estimate of p.
Find the approximate probability that the absolute value of the error |pˆ−p| is less than three
percentage points (0.03.)
(Note: The value of p is not given and you may need it in your computation. You could
decide one reasonable value to use. Either look for relevant information online or estimate its
value in some way. Please justify your option!)
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