# Proportional samples

• Apr 15th 2009, 10:07 AM
Proportional samples
A company wants to survey 500 of its employees about job satisfaction. The company employs 860 people in British Columbia, 1100 people in Ontario, and 560 people in New Brunswick. How many employees should be sampled in each province so that the number in each provincial sample is proportional to the number of employees in that province?

Draft work:

500 required

BC = 860
ON = 1100
NB = 560
TOTAL: 2520

STEP 1
BC: 860/2520 x 100 = 34.1%
ON: 1100/2520 x 100 = 43.7%
NB: 560/2520 x 100 = 22.2%

STEP 2
BC: 34.1% / 100 = .341 x 860 = 293 (People)
ON: 43.7% / 100 = .437 x 1100 = 480 (People)
NB: 22.2% / 100 = .222 x 560 = 124 (People)

STEP 3
293 + 480 + 124 = way more than 500

HELP!
• Apr 15th 2009, 10:43 PM
Twig
hi

You have to take the percentages times 500.

For ex BC was 34.1%, -> $\displaystyle 0.341 \cdot 500 = 170.5$
$\displaystyle 0.437 \cdot 500 = 218.5$
$\displaystyle 0.222 \cdot 500 = 111$
$\displaystyle 170.5 + 218.5 + 111 = 500$
• Apr 16th 2009, 02:35 AM