Answered: About 77% of young adults think they…

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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6.1 Young Americans, Part I: About 77% of young adults think they can achieve the American dream. Determine if the following statements are true or false, and explain your reasoning.

(d) A random sample of 120 young Americans where 85% think they can achieve the American dream would be considered unusual.

( ) false

( ) true

Expert Solution

Step 1

Provided data is, about 77% of young adults think they can achieve the American dream.

To check if a random sample of 120 young Americans where 85% think they can achieve the American dream would be considered unusual the z-score can be calculated:

$\begin{array}{rcl} Z & = & \frac{0.85 - 0.77}{\sqrt{\frac{0.77 (1 - 0.77)}{120}}} \\ = & 2.0824 \end{array}$

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