Question

A telephone survey revealed that 78% of the people called liked to listen to music in the car. If 273 people said that they like to listen to music in the car, how many people total were surveyed?

Question 1 options:

21,294 people


213 people


350 people

Answer 1

The number of people that were surveyed are 350 people

The given parameters are:

p = 78% --- the proportion of people that like listening to music in the car

Car =273 --- the number of people for the given proportion

The total number (n) of people surveyed is then calculated as:

Car = p * n

This gives

78% * n = 273

Express 78% as decimal

0.78 * n = 273

Divide both sides by 0.78

n = 350

Hence, 350 people were surveyed

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