document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206340>Question 206340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Approximately 22% of students are majoring in one of the 4 science colleges. If we were to take a simple random sample of 200 students, what is the probability of getting a value for p-hat that is less than .20? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155919 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=155919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Approximately 22% of students are majoring in one of the 4 science colleges. If we were to take a simple random sample of 200 students, what is the probability of getting a value for p-hat that is less than .20?<BR>\n" );
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document.write( "Draw a normal curve showing the distribution of the sample-proportions.<BR>\n" );
document.write( "That distribution is centered at 0.22 with a standard deviation<BR>\n" );
document.write( "of sqrt[0.22*0.78/200]<BR>\n" );
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document.write( "P(p-hat < 0.20) = normalcdf(0,0.20,0.22,sqrt(0.22*0.78/200) = 0.2474<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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