document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235411>Question 235411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I submitted this question on yesterday and did not get a response. I would like to thank the tutor for helping me on this problem. \r<BR>\n" );
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document.write( "A telephone survey gives 670 consumers two choices: Do they prefer Coke or Pepsi?  Exactly 158 of those surveyed state that they prefer Coke.  Assuming that  = 0.10, test the hypothesis that the proportion of the population that prefers Coke is 50%.<BR>\n" );
document.write( "·         State the null and alternate hypotheses<BR>\n" );
document.write( "·         Calculate the sample proportion<BR>\n" );
document.write( "·         Calculate the value of the test statistic.<BR>\n" );
document.write( "·         Determine the critical value(s).<BR>\n" );
document.write( "·         State your decision: Should the null hypothesis be rejected?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173567 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=173567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A telephone survey gives 670 consumers two choices: Do they prefer Coke or Pepsi?<BR>\n" );
document.write( "Exactly 158 of those surveyed state that they prefer Coke. <BR>\n" );
document.write( "Assuming that alpha = 0.10, test the hypothesis that the proportion of the population that prefers Coke is 50%.<BR>\n" );
document.write( "· State the null and alternate hypotheses<BR>\n" );
document.write( "Ho: p = 0.5<BR>\n" );
document.write( "Ha: p is not 0.5<BR>\n" );
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document.write( "· Calculate the sample proportion<BR>\n" );
document.write( "p-hat = 158/670 = 0.2358<BR>\n" );
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document.write( "· Calculate the value of the test statistic.<BR>\n" );
document.write( "z(0.2358) = (0.2358-0.5000)/sqrt[.5*.5/(670)] = -13.6773 <BR>\n" );
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document.write( "· Determine the critical value(s).<BR>\n" );
document.write( "invNorm(0.05) = +/-1.645<BR>\n" );
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document.write( "Decision: Should Ho be rejected.<BR>\n" );
document.write( "Yes because the test statistic is in the rejection interval<BR>\n" );
document.write( "to the left of -1.645.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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