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THE MARGIN OF ERROR (BOUNDARY) FOR A PROPORTION: EBP

/in /by

THE MARGIN OF ERROR (BOUNDARY) FOR A PROPORTION: EBP = z * √ [(p’*q’)
/ n ]. IF WE KNOW THE EBP, AND THE PROBABILITIES OF EVENTS p’ AND q’ OCCURRING, WE CAN DETERMINE THE NECESSARY SAMPLE SIZE. LET’S SAY THAT THE EBP = 7% AND THAT p’ = 40% AND q’ = 60% (REMEMBER THAT p’ AND q’ MUST ADD UP TO 1.00 OR 100%)

CALCULATE THE NECESSARY SAMPLE SIZE (n) USING THESE NUMBERS. (HINT: CAN’T USE %’s, NEED TO CONVERT THEM TO DECIMAL FRACTIONS) ALSO, WHEN NO ALPHA VALUE IS GIVEN AS HERE, ASSUME α =5%

 (BUT, DO WE USE α/2 HERE SINCE IT’S A CI?)

There is no other information to give on the assignment. The following is as far as I was able to get alone:

.07 = z * √ [(.4’*.6′) / n ].

 
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