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Chapter 2: Problem 7

Give the relevant proportion using correct notation. A survey conducted of 1060 randomly selected US teens aged 13 to 17 found that 605 of them say they have made a new friend online. \(^{6}\)

Short Answer

Expert verified
The proportion of US teens aged 13 to 17, who reported having made a new friend online, is \(57.1\% \).

Step by step solution

01

Calculate the proportion

The proportion, denoted as \(p\), is calculated by dividing the number of 'successes' by the total number of attempts. In this case, the 'successes' are the teens who have made a new friend online. Thus, the proportion can be calculated using the formula \(p = \frac{x}{n}\), where \(x\) is the number of teens who have made a new friend online, and \(n\) is the total number of teens. So, \(p = \frac{605}{1060}\).
02

Simplify the proportion

To simplify the proportion, simply perform the division. So, \(p = \frac{605}{1060} = 0.57075\).
03

Express the proportion in the correct notation

In statistics, the proportion is usually expressed as a decimal, a fraction, or a percentage. In this case, it will be best to express the proportion as a percentage. To convert to percentage, multiply the decimal by 100. So, \(p = 0.57075 * 100 = 57.075\% \). The percentage should be rounded to the nearest tenth of a percent, thus the final proportion is \(57.1\% \).

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