document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851059>Question 851059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A simple random sample of size n = 200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 115 responded that they did. determine if more than half of all drivers drive a car made in this country at the a = 0.05 level of significance. \r<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 #512542 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=512542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A simple random sample of size n = 200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 115 responded that they did. determine if more than half of all drivers drive a car made in this country at the a = 0.05 level of significance. <BR>\n" );
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document.write( "Ho: p <= 0.5<BR>\n" );
document.write( "Ha: p > 0.5 (claim)<BR>\n" );
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document.write( "x-bar = 115/200 = 0.575<BR>\n" );
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document.write( "z(0.575) = (0.575-0.5)/sqrt[0.5*0.5/200] = 2.1213<BR>\n" );
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document.write( "The p-value = P(z > 2.1213) = normalcdf(2.1213,100) = 0.0169<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 the claim at the 5% level of significance.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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