document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687916>Question 687916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help....Here is my problem statement.\r<BR>\n" );
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document.write( "Anna is analyzing private polling data  - out of 1000 customers asked, 261 said that they would buy new purple lipstick. Assume that this data is unbiased.<BR>\n" );
document.write( "The company that she works for has determined that if 25% of the company’s customer base buys the new product, the launch will be a success. Anna has to use this data to determine whether the launch looks like it will be a success or not.  She sets the following hypotheses:\r<BR>\n" );
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document.write( "H0: &#960; &#8804; 0.25<BR>\n" );
document.write( "HA:&#960; > 0.25\r<BR>\n" );
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document.write( "Assuming &#945; = 0.05 and the data given, should Anna reject H0 or not? Show all of your working, including the test criteria.\r<BR>\n" );
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document.write( "Thank you for your help.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425407 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=425407\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Anna is analyzing private polling data - out of 1000 customers asked, 261 said that they would buy new purple lipstick. Assume that this data is unbiased.<BR>\n" );
document.write( "The company that she works for has determined that if 25% of the company’s customer base buys the new product, the launch will be a success. Anna has to use this data to determine whether the launch looks like it will be a success or not. She sets the following hypotheses: <BR>\n" );
document.write( "H0: &#960; &#8804; 0.25<BR>\n" );
document.write( "HA:&#960; > 0.25 (success) <BR>\n" );
document.write( "Assuming &#945; = 0.05 and the data given, should Anna reject H0 or not? Show all of your working, including the test criteria. <BR>\n" );
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document.write( "Critical value for 5% right-tail test: z = 1.645<BR>\n" );
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document.write( "Test Stat: z(0.261) = (0.261-0.25)/sqrt[0.25*0.75/1000) = 0.8033<BR>\n" );
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document.write( "Since the test stat is not in the reject interval, fail to reject Ho.<BR>\n" );
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document.write( "Conclusion: The test results do not predict success for the product.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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