document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245994>Question 245994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For many years TV executives used the guideline that 30 percent of the audience were watching each of the traditional big three prime-time networks and 10 percent were watching cable stations on a weekday night. A random sample of 550 viewers in the Tampa–St. Petersburg, Florida, area last Monday night showed that 175 homes were tuned in to the ABC affiliate, 170 to the CBS affiliate, 165 to the NBC affiliate, and the remainder were viewing a cable station. At the 0.1 significance level, can we conclude that the guideline is still reasonable?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179681 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=179681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For many years TV executives used the guideline that 30 percent of the audience were watching each of the traditional big three prime-time networks and 10 percent were watching cable stations on a weekday night. A random sample of 550 viewers in the Tampa–St. Petersburg, Florida, area last Monday night showed that 175 homes were tuned in to the ABC affiliate, 170 to the CBS affiliate, 165 to the NBC affiliate, and the remainder were viewing a cable station. At the 0.1 significance level, can we conclude that the guideline is still reasonable? <BR>\n" );
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document.write( "Network numbers are 175+170+165 = 510<BR>\n" );
document.write( "Proportion is 510/550 = 0.9273<BR>\n" );
document.write( "Cable numbers are 550-510 = 40<BR>\n" );
document.write( "Proportion is 40/550 = 0.0727<BR>\n" );
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document.write( "It's a Goodness-of-Fit problem.<BR>\n" );
document.write( "Expected values are 0.30--------------0.10<BR>\n" );
document.write( "Observed values are 0.9273-----------0.0727<BR>\n" );
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document.write( "Express the comparison in whole numbers:<BR>\n" );
document.write( "Expected values---3000-----------1000<BR>\n" );
document.write( "Observed values---9273------------727<BR>\n" );
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document.write( "Ho: The proportions are the same<BR>\n" );
document.write( "H1: At least one of the proportions is different<BR>\n" );
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document.write( "Run a Chi-Sq. Goodness of Fit program on the two rows of data:<BR>\n" );
document.write( "I got the following:<BR>\n" );
document.write( "Chi-Sq = 4346.08<BR>\n" );
document.write( "p-value is 0 to 4 decimal places<BR>\n" );
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document.write( "Conclusion: Reject Ho; These test results support<BR>\n" );
document.write( "the conclusion that the guidelines should be changed.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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