Question

The state education commission wants to estimate the fraction of tenth grade students that have reading...

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 2 of 2 : Suppose a sample of 333 tenth graders is drawn. Of the students sampled, 260 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.

Homework Answers

Answer #1

Confidence interval, CI = Z*

Proportion of students that have reading skills at or below the eighth grade level = 1 - 260/333

= 0.2192

For 80% confidence level, Z* = 1.28

= p = 0.2192

=

=

= 0.0227

Confidence interval = 0.2192 1.28x0.0227

= 0.2192 0.0290

= (0.190, 0.248)

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