In each parts a-c we have given a likely range for the observed value of a sampl

Question

In each parts a-c we have given a likely range for the observed value of a sample proportion. Based on the given range, identify the educated guess that should be used for the obseved value of sample proportion to calculate the required sample size for a perscribed confidence level and margine of error.

a) 0.4 to 0.7   b) 0.7 or greater   c) 0.7 or less

d) In each parts a - c, which observed values of the sample proportion will yield a larger margin of error than the one specified if the educated guess is used for the sample size computation?

I do not have a clue where to start. I am lost.

Explanation / Answer

In each parts (a)-(c), we have given a likely range for the observed value of a sample proportion p.
Based on the given range, identify the educated guess that should be used for the observed value of p to calculate the required sample size for a prescribed confidence level and margin of error.
a. 0.4 to 0.7
Edu. Guess: p = (0.7+0.4)/2 = 0.55
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b. 0.7 or greater
Edu. Guess: (1+0.7)/2 = 0.85
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c. 0.7 or less
Edu. Guess: (0+0.7)/2 = 0.35
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