Question

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.

Step 1 of 2:

Suppose a sample of 2252 tenth graders is drawn. Of the students sampled, 495 read at or below the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answer 1

Let p be the fraction (or proportion) of tenth grade students that have reading skills at or below the eighth grade level.

Here our goal is is to estimate p

We estimate p with

n = 2252 (sample size)

Let x denote number of students who read at or below the eighth grade level

x = 495

Estimate of p is

Answer: Estimate of the proportion of tenth graders reading at or below the eighth grade level is 0.220