document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045260>Question 1045260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One&#8203; study, based on responses from 1,017 randomly selected&#8203; teenagers, concluded that 41&#8203;% of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure.\r<BR>\n" );
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document.write( "What is the null and alternative hypotheses?\r<BR>\n" );
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document.write( "Find the test statistic.<BR>\n" );
document.write( "z=? &#8203;(Round to two decimal places as&#8203; needed.)\r<BR>\n" );
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document.write( "Find the&#8203; P-value for the found test statistic. <BR>\n" );
document.write( "&#8203;P-value=? (Round to four decimal places as&#8203; needed.)\r<BR>\n" );
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document.write( "State the conclusion. Choose the correct answer below.\r<BR>\n" );
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document.write( "A.Reject Upper H 0. There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.<BR>\n" );
document.write( "B.Reject Upper H 0. There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.<BR>\n" );
document.write( "C.Do not reject Upper H 0. There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.<BR>\n" );
document.write( "D.Do not reject Upper H 0. There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660764 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=660764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: > or = to half of all teenagers feel grades are the greatest source of pressure.<BR>\n" );
document.write( "Ha: < than half of all teenagers feel this way.<BR>\n" );
document.write( "alpha is 0.05, one tail test.\r<BR>\n" );
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document.write( "Test statistic is a one sample proportion: z=(phat-0.5)/sqrt {(0.5)(0.5)/1017}  phat-p=-0.09; SE=0.0157<BR>\n" );
document.write( "Critical value is z=<-1.645<BR>\n" );
document.write( "z=-5.74<BR>\n" );
document.write( "Strongly reject Ho with p<<0.0001<BR>\n" );
document.write( "There is sufficient evidence to reject the null hypothesis.  A<BR>\n" );
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