document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923889>Question 923889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A statistics practitioner wants to test the following hypotheses:<BR>\n" );
document.write( " H^0: p=.70<BR>\n" );
document.write( " H^1: p>.70<BR>\n" );
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document.write( "A random sample of 100 produced p=.67<BR>\n" );
document.write( " Calculate the p-value of the test.<BR>\n" );
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document.write( "b).Repeat part (a) with p=.68<BR>\n" );
document.write( " C).Repeat part (a) with p=.69<BR>\n" );
document.write( "D).Describe the effect on the z-statistic and its p-value of increasing the sample proportion.<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560434 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=560434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Ho: p=.70<BR>\n" );
document.write( " Ha: p > .70<BR>\n" );
document.write( "....<BR>\n" );
document.write( " A random sample of 100 produced p=.67<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%28.67%29+=blue+%28.67+-+.70%29%2Fsqrt%28.70%2A.30%2F100%29 ALIGN=MIDDLE  ALT=\"z%28.67%29+=blue+%28.67+-+.70%29%2Fsqrt%28.70%2A.30%2F100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -.03/.0458 = -.6547<BR>\n" );
document.write( "Using TI or Similarly Your Casio fx-115 ES plus <BR>\n" );
document.write( "p-value = P(z > -.6547) = normalcdf(-.6547, 100) = .7437<BR>\n" );
document.write( "..........<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%28.68%29+=blue+%28.68+-+.70%29%2Fsqrt%28.70%2A.30%2F100%29 ALIGN=MIDDLE  ALT=\"z%28.68%29+=blue+%28.68+-+.70%29%2Fsqrt%28.70%2A.30%2F100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -.02/.0458 = -.4364<BR>\n" );
document.write( "p-value = P(z > -.4364) = normalcdf(-.4364, 100) = .6687<BR>\n" );
document.write( ".........<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%28.69%29+=blue+%28.69+-+.70%29%2Fsqrt%28.70%2A.30%2F100%29 ALIGN=MIDDLE  ALT=\"z%28.69%29+=blue+%28.69+-+.70%29%2Fsqrt%28.70%2A.30%2F100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -.01/.0458 = -.2183<BR>\n" );
document.write( "p-value = P(z > -.2183) = normalcdf(-.2183, 100) = .5864<BR>\n" );
document.write( ".........<BR>\n" );
document.write( "increasing the sample proportion , increases the z -value  (-.2183 > -.6547)<BR>\n" );
document.write( "and decreases the probability of that sample proportion </SPAN>\n" );
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