The state education commission wants to estimate the fraction of tenth grade stu

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 2 of 2: Suppose a sample of 1594tenth graders is drawn. Of the students sampled, 350 read at or below the eighth grade level. Using the data, construct the 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.

Step 1 of 2: Suppose a sample of 1594 tenth graders is drawn. Of the students sampled,350 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.

Explanation / Answer

step 1 of 2) estimated proportion p=350/1594=0.2196

step 2 of 2)hence std error =(p(!-p)/n)1/2 =0.0104

for 95% CI, z=1.96

hence confidence interval =p -/+z*std error =0.199 ; 0.419

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