Calculate the margin of error E. Construct the 98% confidence interval. The stat

Question

Calculate the margin of error E. Construct the 98% confidence interval. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level Suppose a sample of 800 tenth graders is drawn Of the students sampled, 203 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 Answer clearly all parts and show your work. Find the critical value that should be used in constructing the confidence interval Calculate the margin of error E. Construct the 95% confidence interval.

Explanation / Answer

here point estimate of proportion p=203/800 =0.2538

hence std error =(p(1-p)/n)1/2 =0.0154

critical value for 95% confidence interval =1.96

margin of error =z*Std error =0.0302

95% confidence interval =sample proportion -/+ margin of error =0.2236 ; 0.2839

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