document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980421>Question 980421</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A die is tossed 180 times with the following<BR>\n" );
document.write( "results:<BR>\n" );
document.write( "Is this a halanced die? Use a 0.01 level of significance.<BR>\n" );
document.write( "10.80 In 100 tosses of a coin, 63 heads and 37 tails<BR>\n" );
document.write( "are ohserved. Is this a balanced coin? Use a 0.05 level<BR>\n" );
document.write( "of significance.\r<BR>\n" );
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document.write( "Kindly, Any one can advice my about it ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601623 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601623\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Looks like you have an incomplete first problem and a complete second problem. <BR>\n" );
document.write( "Here's what to do for both but I'll only use data from the second.<BR>\n" );
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document.write( "Hypothesis testing with a proportion.<BR>\n" );
document.write( "Balanced die would mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5Bh%5D=0.5 ALIGN=MIDDLE  ALT=\"p%5Bh%5D=0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
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document.write( "Null hypothesis : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5Bh%5D=0.5 ALIGN=MIDDLE  ALT=\"p%5Bh%5D=0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Alternate hypothesis : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5Bh%5D%3C%3E0.5 ALIGN=MIDDLE  ALT=\"p%5Bh%5D%3C%3E0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two tailed test, assume normality since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%3E30 ALIGN=MIDDLE  ALT=\"N%3E30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the standard deviation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=sqrt%28%28p%281-p%29%29%2FN%29 ALIGN=MIDDLE  ALT=\"sigma=sqrt%28%28p%281-p%29%29%2FN%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=sqrt%28%280.63%280.37%29%29%2F100%29 ALIGN=MIDDLE  ALT=\"sigma=sqrt%28%280.63%280.37%29%29%2F100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=0.04828 ALIGN=MIDDLE  ALT=\"sigma=0.04828\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the z score.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%28p%5Bh%5D-p%29%2Fsigma ALIGN=MIDDLE  ALT=\"z=%28p%5Bh%5D-p%29%2Fsigma\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%280.5-0.63%29%2F0.04828 ALIGN=MIDDLE  ALT=\"z=%280.5-0.63%29%2F0.04828\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=-2.6926 ALIGN=MIDDLE  ALT=\"z=-2.6926\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For 0.05 significance, the critical z score would be,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5Bc%5D=-1.96 ALIGN=MIDDLE  ALT=\"z%5Bc%5D=-1.96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since you are outside the \"fail to reject\" region, you reject the null hypothesis. <BR>\n" );
document.write( "It is not a fair die.<BR>\n" );
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