01:49:1
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going on the
field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the
population. Which was most likely true of the representative sample?
VX
The representative sample contained all 160 students.
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls.

It is given that a random sample is chosen from a total students of 160 students. The sample can be of 10,15 or any small numbers of students as compared to 160. However, a sample cannot be of 160 students as it is defined as a population in this case.

A random sample is always unbiased. Which means that the sample chosen should have around the same proportion of girls to boys as it is in the population of 160.

We know that:

Total boys in 160 = 65

Total girls in 160 = 95

Proportion of girls to boys = 95/65 = 1.462

Which means that for every 1 boy, there are 1.462 of girls.

The same ratio is held in a random sample, hence the total number of girls will be greater than boys