Chapter 11, Problem 7MCQ

To determine

To predict: The number of families which own at least one cell phone.

Answer to Problem 7MCQ

About $\text{1750}$ families in the town own at least one cell phone.

Explanation of Solution

Given information :

In a survey, $35$ families out of a random sample of $150$ families in a town own at least one cell phone.

Total number of families in the town= $\text{7500}$

Formula used :

Predicted number of people in population giving the response= $p\%\cdot$ number of people in the population.

Calculation :

As per the problem,

Number of families out of $150$ which own at least one cell phone = $35$ .

Total number of families in the town= $\text{7500}$

Find the percent of families which own at least one cell phone

  $\begin{array}{l}\frac{\text{number of families which own at least one cell phone}}{\text{total number of random sample of families}}\times 100\\ \Rightarrow \frac{35}{150}\times 100\text{ [put the values]}\\ \Rightarrow 23.33\%\text{ [simplify]}\end{array}$

Now, find the total number of families owning at least one cell phone

$\text{23}\text{.33\%}\times \text{7500 families=1750 families}$ [use the formula stated]

Hence,

About $\text{1750}$ families in the town own at least one cell phone.