document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=469190>Question 469190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the population proportion is 0.75 and a simple random sample of size 225 will be taken:<BR>\n" );
document.write( "A) specify the sampling distribution of p bar, the sample proportion<BR>\n" );
document.write( "B) what is the probability that the sample proportion will take a value between 0.73 and 0.83 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #322169 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=322169\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the population proportion is 0.75 and a simple random sample of size 225 will be taken:<BR>\n" );
document.write( "A) specify the sampling distribution of p bar, the sample proportion<BR>\n" );
document.write( "mean of all samples of size 225 = 0.75<BR>\n" );
document.write( "std of all samples of size 225 = sqrt[0.75*0.25/225] = 0.0289<BR>\n" );
document.write( "----------------------------------------------------------------- <BR>\n" );
document.write( "B) what is the probability that the sample proportion will take a value between 0.73 and 0.83<BR>\n" );
document.write( "---<BR>\n" );
document.write( "z(0.73) = (0.73-0.75)/0.0289 = -0.6920<BR>\n" );
document.write( "z(0.83) = (0.83-0.75)/0.0289 = 2.7682<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(0.73 < p < 0.83) = P(-0.6920 < z < 2.7682) = 0.5338<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );