Chapter 12, Problem AP4.8CPT

To determine

To find out what is the approximate probability that this will happen if the machine is working correctly.

Answer to Problem AP4.8CPT

Option (a) is the correct option.

Explanation of Solution

A large machine is filled with thousands of small pieces of candy, $40\%$ of which are orange. This problem is about population proportions. The problem states that $40\%$ are orange indicating the true population proportion being $0.4$ .The z-score formula for proportions is:

  $\begin{array}{l}z=\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\ =\frac{0.3-0.4}{\sqrt{\frac{0.4(1-0.4)}{60}}}\end{array}$

Thus, the option (a) is the correct option.