Question

The Ice Chalet offers dozens of different beginning iceskating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.

Define a new random variable P′. What is p′ estimating?

Short answer

$P\text{'}$is a random variable that stands for sample proportion.

$p\text{'}$is estimating the population proportions.

Step-by-step solution

Given information

There are $64$girls and $16$boys in the beginning ice skating class. All the class name are put into a bucket. The 5 P.M, Monday night, ages 8 to 12.

We need to define a new random variable $p\text{'}$and have to determine what $p\text{'}$estimating.

Solution

A random variable means a variable whose value remains unknown or a process that allocates significance to each of an experimentation's results.

So, the random variable $P^{\mathrm{\prime }}$stands for the sample proportion.

A population proportion is a parameter that describes a percentage number linked with a population. It is commonly symbolized by P or the Greek letter pi.