Question 5 | of 5 Step 1 of 1 93:21:28 The state education commission wants to e

Question

Question 5 | of 5 Step 1 of 1 93:21:28 The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.16 How arge a ample would be required in order o estimate the fraction of tenth graders reading at or below the eighth grade level at the 95 % confidence level with an error of at most 0.02? Round your answer up to the next integer. Answer(How to Enter) 4 Points Keypad Next Prev 33 PM ^da) 11/29/2017 © 2017 Hawkes Learning e e here to search

Explanation / Answer

Margin of error , ME is z*sqrt(p*(1-p)/N)

here z for 95% confidence is 1.96

p is 0.16

ME is 0.02

thus 0.02=1.96*sqrt(0.16*(1-0.16)/N)

or N is 0.16*(1-0.16)*(1.96/0.02)^2=1290.78 or 1291

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