Question

A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
The representative sample contained all 200 tourists.
The representative sample contained more adults than children.
The representative sample contained more children than adults.
The representative sample contained an equal number of adults and children.

Answer 1

The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Note that a representative sample of the population cannnot contain all 200 people (option 1 is false).

The probability for adult to be chosen is

$\dfrac{150}{200}=\dfrac{3}{4}$

and the probability for child to be chosen is

$\dfrac{50}{200}=\dfrac{1}{4}.$

Then a representative sample of the population will contain nearly three times more adults then childs.

Answer: correct choice is B - The representative sample contained more adults than children.

Answer 2

The representative sample contained more adults than children