document.write( "Question 1060911: A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.05 with 99% confidence if
\n" ); document.write( "(a) she uses a previous estimate of 0.36?
\n" ); document.write( "(b) she does not use any prior estimates? \n" ); document.write( "

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A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.05 with 99% confidence if
\n" ); document.write( "(a) she uses a previous estimate of 0.36?
\n" ); document.write( "(b) she does not use any prior estimates?
\n" ); document.write( "

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document.write( "The ESTIMATED SAMPLE PROPORTION should be calculated using the following formula: n = p̂q̂\r\n" );
document.write( "(a)\r\n" );
document.write( "Now, with a PRELIMINARY ESTIMATE of .36, p̂ = .36, and q̂ = 1 - p̂ = 1 - .36 = .64\r\n" );
document.write( "Since this is a 99% CONFIDENCE INTERVAL, then significance level is , and so, \r\n" );
document.write( "E (Margin of Error) = .05\r\n" );
document.write( "Therefore, n = p̂q̂ becomes:

\n" ); document.write( "

(b)\r\n" );
document.write( "Now, since NO PRELIMINARY ESTIMATE WAS GIVEN/WAS AVAILABLE, then .5(50%) should be used for p̂, or for the ASSUMED proportion\r\n" );
document.write( "With p̂ being .5, q̂ = 1 - p̂ = 1 - .5 = .5\r\n" );
document.write( "Since this is a 99% CONFIDENCE INTERVAL, then significance level is , and so, \r\n" );
document.write( "E (Margin of Error) = .05\r\n" );
document.write( "Therefore, n = p̂q̂ becomes: \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "When I used STATDISK to calculate the ESTIMATED SAMPLE PROPORTION, I got the same result: a) 612 and b) 664 adults.

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\n" ); document.write( "\n" ); document.write( "This problem looks a lot like one from Chamberlain College of Nursing. I tutor a lot of nursing students who attend that college. Is that where you attend? \n" ); document.write( "

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