document.write( "Question 550174: Of 250 adults who tried a new product,187 rated it excellent. of 100 children sampeld, 66 rated it excellent. test the hypothesis that the two population proportions are equal using 0.01 level. \n" ); document.write( "

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Of 250 adults who tried a new product,187 rated it excellent. of 100 children sampeld, 66 rated it excellent. test the hypothesis that the two population proportions are equal using 0.01 level.
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\n" ); document.write( "p1-hat = 187/250 = 0.75
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\n" ); document.write( "p2-hat = 66/100 = 0.67
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\n" ); document.write( "Ho: p1-p2 = 0 (claim)
\n" ); document.write( "Ha: pa-p2 # 0
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\n" ); document.write( "sample proportion: p1-p2 = 0.75-0.67 = 0.08
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\n" ); document.write( "test stat: z(0.08) = 0.08/sqrt[(0.75*0.25/250)+(0.67*0.33/100)] = 1.4702
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\n" ); document.write( "p-value = 2*P(z >1.4702) = 0.1416
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\n" ); document.write( "conclusion: Since the p-value is greater than 1%, fail
\n" ); document.write( "to reject Ho.
\n" ); document.write( "The test results support the claim.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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