document.write( "Question 1204120: The College of Podiatrists states that 48% of women wear shoes that are too small for their feet. A researcher wants to be 98% confident that this proportion is within 0.05 of the true proportion. How large a sample is necessary?\r
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\n" ); document.write( "\n" ); document.write( "718, 413, 540, or 286?
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Algebra.Com's Answer #840168 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "The sample size (\"n+\") is calculated according to the formula: \r
\n" ); document.write( "\n" ); document.write( "\"n+=+z%5E2+%2A+p+%2A+%28%281+-+p%29+%2F+e%5E2+%29\"\r
\n" ); document.write( "\n" ); document.write( "Where: \"z+=+2.326+\" for a confidence level (α) of \"98%25%2C+%7B%7B%7Bp+\" = proportion (expressed as a decimal), \"e+\" = margin of error.\r
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\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"z+=+2.326+\", \"p+=+0.48+\", \"e+=+0.05+\"\r
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\n" ); document.write( "\n" ); document.write( "\"n+=+2.326%5E2+%2A+0.48+%2A+%28%281+-+0.48%29+%2F+0.05%5E2+%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"n+=+1.3504048896+%2F+0.0025++\"\r
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\n" ); document.write( "\n" ); document.write( "\"n=+540.16195584+\"\r
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\n" ); document.write( "\n" ); document.write( "The sample size is equal to \"540+\"\r
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