document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131639>Question 1131639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a random sample of 144 voters it was found that 90 were in favor of a bond issue.  Test the <BR>\n" );
document.write( "    hypothesis that opinion is equally divided on this issue. Let &#945; = 0.01.  Hint, voters are either pro or con<BR>\n" );
document.write( "    regarding the bond issue and the random sample is small relative to the population of voters, so voters <BR>\n" );
document.write( "    are independent of each other regarding attitude toward the bond issue.<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 #748310 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=748310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho:  X = 0.50<BR>\n" );
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document.write( "H1:  X > 0.50<BR>\n" );
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document.write( "sample mean proportion = 90/144 = 0.625<BR>\n" );
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document.write( "standard error(SE) = square root( 0.625 * (1-0.625) / 144) = 0.0403<BR>\n" );
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document.write( "Note we use the sample proportion because we do not know the population proportion<BR>\n" );
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document.write( "test statistic = (0.625 - 0.500)/0.0403 = 3.10<BR>\n" );
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document.write( "alpha(a) = 0.01<BR>\n" );
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document.write( "critical probability(p*) = 1 - (a/2) = 0.995<BR>\n" );
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document.write( "the critical value(z-score) associated with p* is 2.57<BR>\n" );
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document.write( "Since the test statistic(3.10) does fall within the critical region(2.57), we reject the null hypothesis.<BR>\n" );
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