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.
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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