document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=476359>Question 476359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> USA today reported that about 47% of the general consumer population in the U.S. is loyal to the automobile manufacturer.of their choice. Suppose Cheverlet did a study of a random sample of 1006 Chevrolet owners and found that 495 said that they would buy another Chevrolet. <BR>\n" );
document.write( "a) Should you conclude that the population proportion of consumers loyal to Chevrolet is more than 47%? use the 5% significance level<BR>\n" );
document.write( "b)to the nearest whole percent, specify  the smallest significance level that would change your decision  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326623 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=326623\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> USA today reported that about 47% of the general consumer population in the U.S. is loyal to the automobile manufacturer.of their choice. Suppose Cheverlet did a study of a random sample of 1006 Chevrolet owners and found that 495 said that they would buy another Chevrolet. <BR>\n" );
document.write( "a) Should you conclude that the population proportion of consumers loyal to Chevrolet is more than 47%? use the 5% significance level<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Ho: p <= 0.47<BR>\n" );
document.write( "Ha: p > 0.47 (claim)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "sample proportion: 495/1006 = 0.49<BR>\n" );
document.write( "----<BR>\n" );
document.write( "test statistic: z(0.49) = (0.49-0.47)/sqrt[0.47*0.53/1006] = 1.27<BR>\n" );
document.write( "---<BR>\n" );
document.write( "p-value = P(z > 1.27) = 0.1019<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Conclusion: Since the p-value is greater than 5%, fail to <BR>\n" );
document.write( "reject Ho.  The test supports the claim at the 5% level<BR>\n" );
document.write( "of significance.<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "b)to the nearest whole percent, specify the smallest significance level that would change your decision.<BR>\n" );
document.write( "Answer: Significance level greater than 10.19%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );