document.write( "Question 997052: Suppose simple random sample size n=1000 is obtained from population whose size is N=1,000,000 and whose population proportion with specified characteristics is p=0.42. What is probability of obtaining X=380 or fewer individuals with the characteristic? Round answer 4 decimal places. \n" ); document.write( "

Algebra.Com's Answer #615310 by Boreal(15235) $\"\"$ $\"About$

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\n" ); document.write( "n=1000; N is much larger so can use normality, don't need finite population correction factor, and can use z-test
\n" ); document.write( "Ho: p>=0.38
\n" ); document.write( "Ha:p<0.38
\n" ); document.write( "alpha=0.05
\n" ); document.write( "Test statistic is 1-sample proportion test
\n" ); document.write( "critical value is z< -1.645
\n" ); document.write( "z=phat-p/SE
\n" ); document.write( "=0.38-0.42/0.0156
\n" ); document.write( "z= -2.5641; probability (p-value) of this occurrence by chance is 0.0052
\n" ); document.write( "std error is sqrt {(0.42)(0.58)/1000}=0.0156
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