document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163240>Question 1163240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the following hypotheses: \r<BR>\n" );
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document.write( "H0: p ≥ 0.47 <BR>\n" );
document.write( "HA: p < 0.47 \r<BR>\n" );
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document.write( "Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round \"z\" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) \r<BR>\n" );
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document.write( "p¯ = 0.38; n = 53  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787289 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=787289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(phat-p)/sqrt(p*(1-p)/n)<BR>\n" );
document.write( "=-0.09/sqrt(.47*.53/53)<BR>\n" );
document.write( "=-0.09/0.0686<BR>\n" );
document.write( "=-1.312 or -1.31<BR>\n" );
document.write( "prob of z<-1.31 is 0.0951 and that is the p-value\r<BR>\n" );
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document.write( "There is a problem here and that is the original data is 20/53, since a non-integer value for proportions can't be used. 0.38 is the rounded proportion, but the true value is 0.377<BR>\n" );
document.write( "This makes the z-value -1.35 and the p-value 0.0882\r<BR>\n" );
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document.write( "You might want to check this with your instructor. The sample proportion is rounded considerably, so that not rounding until the end is still a problem with the initial rounding. If this were discussed, then there should be no issue. </SPAN>\n" );
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