Question

74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A...

74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selected . Find the probability that the proportion of students who graduated is greater than 0.746.

Write only a number as your answer Round to 4 decimal places (for example 0.1048) . Do not write as a percentage .
Math   Statistics-And-Probability   
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Answer #1

Solution

=  [p( 1 - p ) / n] = [(0.74 * 0.26) / 81 ] = 0.04874

P( > 0.746) = 1 - P( < 0.746)

= 1 - P(( - ) / < (0.746 - 0.74) / 0.04874)

= 1 - P(z < 0.12)

= 0.4522

Probability = 0.4522

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