document.write( "Question 1085207: A RANDOM SAMPLE OF 400 MEMBERS OF LABOR FORCE IN A FIVE STATE REGION SHOWED THAT 32 WERE UNEMPLOYED. CONSTRUCT THE 95% CONFIDENCE INTERVAL FOR THE PROPORTION UNEMPLOYED IN THE REGION. \n" ); document.write( "
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The interval width is z(0.975)*sqrt (0.08*0.92)/400; sqrt term=0.01356.
\n" ); document.write( "The 0.975 is the z-value with 0.025 on each end or 95%. The sqrt is of p*(1-p)/n, and p is 32/400=0.08, the point estimate.
\n" ); document.write( "0.0266 is the interval width.
\n" ); document.write( "That is above and below the point estimate
\n" ); document.write( "(0.0534, 0.1066) is 95% CI\r
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