Question

A study of parents of kindergarteners included 349 parents who were chosen at

random. Of these parents, 47% said they sent their children to pre-kindergarten. School
records show that only 31% of parents of kindergarteners sent their children to pre-
kindergarten. Identify the statistic and the parameter.
Three hundred forty-nine is the parameter and 47% is the statistic.
Three hundred forty-nine is the statistic and 47% is the parameter.
Three hundred forty-nine is the parameter and 31% is the statistic
Forty-seven percent is the parameter and 31% is the statistic
Forty-seven percent is the statistic and 31% is the parameter

Answer 1

47% is the statistic and 31% is the parameter.

Explanation:

A parameter is a quantity of a variable representing certain characteristic of a population.

A statistic is a quantity of a variable representing certain characteristic of a sample.

The sample of parents of kindergartners selected is, n = 345.

The School records show that only 31% of parents of kindergartners sent their children to pre-kindergarten.

That is the population proportion is, p = 0.31.

This is the parameter value.

Of the 349 parents, 47% said they sent their children to pre-kindergarten.

That is the sample proportion is,
`\hat p` = 0.47.

This is the statistic value.

Thus, the correct option is:

47% is the statistic and 31% is the parameter.