Question

6 from unit 3, lesson 1
a random sample of people are asked about their preferences regarding home decoration
and their interest in fashion. complete the two - way table so it has the characteristics listed

• 150 people responded to the survey.
• 70% of the responders do not pay attention to fashion.
• 33 of the responders who prefer neutral decorations also do not pay attention to

fashion.

• 20 of the responders who pay attention to fashion also prefer colorful decorations in

their homes.

Explanation:

Step1: Calculate the number of people who do not pay attention to fashion

Since \(70\%\) of \(150\) people do not pay attention to fashion, we use the formula \(n = 0.7\times150\).
\(n=105\)

Step2: Calculate the number of people who pay attention to fashion

The number of people who pay attention to fashion is \(150 - 105=45\)

Step3: Fill in the known values

We know that \(20\) of the responders who pay attention to fashion prefer colorful decorations. So for the "pay attention to fashion" row, if the total is \(45\) and \(20\) prefer colorful, then the number who prefer neutral is \(45 - 20 = 25\)
We know that \(33\) of the responders who prefer neutral decorations do not pay attention to fashion. Since the total number of people who do not pay attention to fashion is \(105\), the number of people who do not pay attention to fashion and prefer colorful decorations is \(105-33 = 72\)

Answer:

	prefer colorful decorations	prefer neutral decorations
do not pay attention to fashion	\(72\)	\(33\)