Question

According to a recent survey, 75% of teenagers ages 12-17 in a certain country used social networks in 2009. A random sample of 150 teenagers from this age group was selected. How many teenagers in this sample are expected to have used social networks?

Answer 1

To calculate the expected number of teenagers who used social networks in a sample of 150, multiply 150 by 0.75, resulting in 112.5, which we round to 113 teenagers.

Step-by-step explanation:

The question asks how many teenagers in a random sample of 150 are expected to have used social networks, given that 75% of teenagers used social networks according to a survey. To find the expected number, we multiply the sample size by the percentage (expressed as a decimal).

• Convert the percentage to a decimal: 75% = 0.75.
• Multiply the sample size by the decimal: 150 × 0.75 = 112.5.

Since we cannot have a fraction of a teenager, we would expect about 113 teenagers in the sample to have used social networks.