Chapter 1.1, Problem 27E

(a)

To determine

To calculate the proportion of subjects who saw the broken glass given that received the “Hit treatment”.

Answer to Problem 27E

The required proportion = 0.14

Explanation of Solution

Given:

The Dataset:

			Treatment
		"Smashed into"	"Hit"	Control
Response	Yes	16	7	6
	No	34	43	44

Calculation:

  $\begin{array}{c}\text{P}\left(\text{Yes}|\text{Hit}\text{treatment}\right)=\frac{\text{P}\left(\text{Yes and Hit treatment}\right)}{\text{P }\left(\text{Hit treatment}\right)}\\ =\frac{7}{50}\\ =0.14\end{array}$

(b)

To determine

To calculate the proportion of subjects who said that they didn’t saw the broken glass given that received the “Smashed into” treatment.

Answer to Problem 27E

The required Percent = 68%

Explanation of Solution

Calculation:

  $\begin{array}{c}\text{P}\left(\text{No}|\text{Smashed into}\text{treatment}\right)=\frac{\text{P}\left(\text{No and Smashed into}\text{treatment}\right)}{\text{P }\left(\text{Smashed into}\right)}\\ =\frac{34}{50}\\ =0.68\end{array}$