document.write( "Question 249314: . A telephone survey gives 96 consumers two choices: Do they prefer Coke or Pepsi? Exactly 32 of those surveyed state that they prefer Coke. Assuming that “a” = 0.01, test the hypothesis that the proportion of the population that prefers Coke is 30%. \n" ); document.write( "

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A telephone survey gives 96 consumers two choices: Do they prefer Coke or Pepsi? Exactly 32 of those surveyed state that they prefer Coke. Assuming that “a” = 0.01, test the hypothesis that the proportion of the population that prefers Coke is 30%.
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\n" ); document.write( "Ho: p = 0.30
\n" ); document.write( "H1: p is not 0.30
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\n" ); document.write( "sample proportion: 32/96 = 1/3
\n" ); document.write( "sample std: sqrt(0.3*0.7/96) = 0.0468
\n" ); document.write( "---
\n" ); document.write( "critical value for 2-tail test with alpha = 1% = +/-2.2758
\n" ); document.write( "Test stat: z(1/3) = (1/3 - 0.3)/0.0468 = 0.7127
\n" ); document.write( "---------
\n" ); document.write( "Conclusion: Since the test statistic is not in the rejection
\n" ); document.write( "interval, fail to reject Ho. Conclude that p=0.30
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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