document.write( "Question 74934: A market research agency takes a sample of 1000 people and finds that 200 know of brand X . After an advertising campaighn a further sample of 1091 people are taken and its found that 240 people are aware of brand X . Its required to know if there has been an increase having awareness of brand X at 5 % level of significance . \n" ); document.write( "

Algebra.Com's Answer #54325 by stanbon(75887) $\"\"$ $\"About$

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A market research agency takes a sample of 1000 people and finds that 200 know of brand X . After an advertising campaighn a further sample of 1091 people are taken and its found that 240 people are aware of brand X . Its required to know if there has been an increase having awareness of brand X at 5 % level of significance
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\n" ); document.write( "Ho: p1-p2=0
\n" ); document.write( "Ha: p1-p2<0
\n" ); document.write( "p1-hat=200/1000=0.2
\n" ); document.write( "p2-hat=240/1091=0.219998
\n" ); document.write( "z(0.2-0.219998)=z(-0.01998)=-1.11975
\n" ); document.write( "Using 2-Prop Z Test on TI-83 I get
\n" ); document.write( "p value = 0.13
\n" ); document.write( "Conclusion:
\n" ); document.write( "Since p value > alpha, Fail to Reject Ho.
\n" ); document.write( "The advertising campagne seems to have done no good.
\n" ); document.write( "=========
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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