document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136372>Question 136372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 12. For many years TV executives used the guideline that 30 percent of the audience were<BR>\n" );
document.write( "watching each of the prime-time networks and 10 percent were watching cable stations on<BR>\n" );
document.write( "a weekday night. A random sample of 500 viewers in the Tampa–St. Petersburg, Florida,<BR>\n" );
document.write( "area last Monday night showed that 165 homes were tuned in to the ABC affiliate, 140 to<BR>\n" );
document.write( "the CBS affiliate, 125 to the NBC affiliate, and the remainder were viewing a cable station.<BR>\n" );
document.write( "At the .05 significance level, can we conclude that the guideline is still reasonable?<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 #99932 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=99932\">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 prime-time networks and 10 percent were watching cable stations on a weekday night. <BR>\n" );
document.write( "A random sample of 500 viewers in the Tampa–St. Petersburg, Florida,<BR>\n" );
document.write( "area last Monday night showed that 165 homes were tuned in to the ABC affiliate, 140 to the CBS affiliate, 125 to the NBC affiliate, and the remainder were viewing a cable station.<BR>\n" );
document.write( "At the .05 significance level, can we conclude that the guideline is still reasonable?<BR>\n" );
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document.write( "Ho: the guideline is reasonable<BR>\n" );
document.write( "Ha: the guideline no longer applies<BR>\n" );
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document.write( "Expected number out of 500:...150......150......150......50<BR>\n" );
document.write( "Observed number out of 500:...165......140......125......70<BR>\n" );
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document.write( "Calculate Chi-Sq: the sum of (O-E)^2/E for each pair = 6.66517...<BR>\n" );
document.write( "p-value is 0.08337...<BR>\n" );
document.write( "Conclusion: Since p-value is greater than alpha = 5%, Fail to reject Ho.<BR>\n" );
document.write( "The observed numbers are statistically the same<BR>\n" );
document.write( "as the expected numbers; the guideline is still reasonable.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );