A poll showed that 49.2% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability (in percent form) of randomly selecting someone who does not believe that statistics teachers know the true meaning of life.

A poll showed that 49.2% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability (in percent form) of randomly selecting someone who does not believe that statistics teachers know the true meaning of life.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A poll showed that 49.2% of Americans say they
believe that statistics teachers know the true
meaning of life. What is the probability (in percent
form) of randomly selecting someone who does not
believe that statistics teachers know the true
meaning of life.
Probability =
% (Please round your
answer to one decimal place.)

Expert Solution

Step 1

Given data::

The probability of the Americans who believe that statistics teachers know the true meaning of life is P(A)=49.2%=0.492.

The expression for the probability of the randomly selected Americans who does not believe that statistics teachers know the true meaning of life is,

$P (A') = 1 - P (A)$

Substitute the given value in the above expression.

$\begin{array}{rcl} P (A') & = & 1 - 0.492 \\ = & 0.508 \\ = & 50.8 % \end{array}$

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