Question

there are 600 employees at danis office. she asks a random sample of employees how they get to the office. the results show that 7 employees in the sample drive to the office and 23 take public transportation.
approximately what fraction of all employees can dani expect to drive to the office?
\\( \frac { 7 } { 600 } \\) \\( \frac { 23 } { 600 } \\) \\( \frac { 7 } { 30 } \\) \\( \frac { 23 } { 30 } \\)

Explanation:

Step1: Calculate the sample size

The sample size is \(7 + 23=30\) (sum of employees who drive and take public transportation in the sample).

Step2: Find the fraction of employees who drive in the sample

The number of employees who drive in the sample is \(7\), and the sample size is \(30\). So the fraction of employees who drive in the sample is \(\frac{7}{30}\). Since the sample is random, we can expect this fraction to approximate the fraction for all employees.

Answer:

\(\frac{7}{30}\)