document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=836100>Question 836100</A>: <I><SPAN STYLE=\"word-break: break-all;\">  An automobile association claims that 54% of fatal car/truck accidents are caused by driver error. A researcher studies 30 randomly selected accidents and finds that 14 were caused by driver error. Using 0.02 &#61537; &#61501; , can the association’s claim be refuted? Use the P-value method.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503993 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=503993\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An automobile association claims that 54% of fatal car/truck accidents are caused by driver error. A researcher studies 30 randomly selected accidents and finds that 14 were caused by driver error. Using alpha = 0.02, can the association’s claim be refuted? Use the P-value method. <BR>\n" );
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document.write( "Ho: p = 0.54 (claim)<BR>\n" );
document.write( "Ha: p # 0.54<BR>\n" );
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document.write( "z(14/30) = (0.4667-0.54)/sqrt[0.54*0.46/30] = -0.8059<BR>\n" );
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document.write( "p-value = 2*P(z < -0.8059) = 0.4203<BR>\n" );
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document.write( "Conclusion: Since the p-value is greater than 2%, fail to reject the claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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