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From a large consignment of apples, 400 apples were selected randomly and out of these...

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devdeepguha | (Level 1) eNoter

Posted April 16, 2013 at 5:57 PM via web

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From a large consignment of apples, 400 apples were selected randomly and out of these 65 apples were found to be defective. Find the Standard Error of proportion of bad apples in the consignment.

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted April 16, 2013 at 6:26 PM (Answer #1)

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You need to use the following formula to evaluate the standard error of proportion, such that:

`SE = sqrt(p(1 - p)/n)`

You may evaluate p such that:

`p = 65/400 => p = 13/80 => p = 0.1625`

`1 - p = 1 - 0.1625 => 1 - p = 0.8375`

Replacing `0.1625` for `p,0.8375` for `1 - p` and 400 for n, yields:

`SE = sqrt(0.1625*0.8375/400) => SE = 0.018445443`

Hence, evaluating the standard error of proportion, under the given conditions, yields `SE = 0.018445443.`

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guhadevdeep | (Level 1) eNoter

Posted April 16, 2013 at 6:31 PM (Answer #2)

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Also determine the range of proportion within which the population proportion would lie with 95% confidence.        

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