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 1 of 2 : Suppose a sample of 2004 tenth graders is drawn. Of the students sampled, 1584 read above 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.

Question

08-08-2019
Mathematics

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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 1 of 2 : Suppose a sample of 2004 tenth graders is drawn. Of the students sampled, 1584 read above 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.

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JeanaShupp JeanaShupp · Answer 1 · 2019-08-16T05:36:57+02:00

Answer: 0.790

Step-by-step explanation:

Given : The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.

The sample size : n= 2004

The number of students read above the eighth grade level = 1584

Then , the proportion of students read above the eighth grade level is given by :-

[tex]\dfrac{1584}{2004}=0.790419161677\approx0.790[/tex]

Hence, the estimate proportion of tenth graders reading at or below the eighth grade level =0.790