document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271410>Question 271410</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9.10 In a recent survey, 10 percent of the participants rated Pepsi as being “concerned with my health.”<BR>\n" );
document.write( "PepsiCo’s response included a new “Smart Spot” symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthful eating options. At &#945; = .05, would a follow-up survey showing that 18 of 100 persons now rate Pepsi as being “concerned with my ealth” prove that the percentage has increased?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198734 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=198734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a recent survey, 10 percent of the participants rated Pepsi as being “concerned with my health.”<BR>\n" );
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document.write( "PepsiCo’s response included a new “Smart Spot” symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthful eating options. <BR>\n" );
document.write( "At &#945; = .05, would a follow-up survey showing that 18 of 100 persons now rate Pepsi as being “concerned with my earth” prove that the percentage has increased?<BR>\n" );
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document.write( "Ho: p = 10%<BR>\n" );
document.write( "Ha: p > 0.10<BR>\n" );
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document.write( "sample proportion: 18/100 = 0.18<BR>\n" );
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document.write( "z(0.18) = (0.18-0.10)/sqrt(0.10*0.90/100) = 2.67<BR>\n" );
document.write( "p-value = P(z > 2.67) = 0.0038<BR>\n" );
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document.write( "Conclusion: Since the p-value is less than 5%, reject Ho.<BR>\n" );
document.write( "The test results support increasing the percentage.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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