document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197828>Question 1197828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample is to be selected from a population that has a proportion of successes p = 0.94.  Calculate the standard deviation of the sampling distribution of the sample proportion for samples of size 295.  Give your answer as a decimal with four digits after the decimal point. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831253 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=831253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Binomial Distribution:  p(success) = .94, q = .06 and n = 295\r<BR>\n" );
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document.write( "Note: We can use the normal distribution as a close approximation to the<BR>\n" );
document.write( " binomial distribution whenever np > 5 and nq > 5.<BR>\n" );
document.write( "Criteria satisfied: <BR>\n" );
document.write( "x̄ = 295(.94)<BR>\n" );
document.write( "s = √(npq) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28295%2A.94%2A.06%29 ALIGN=MIDDLE  ALT=\"sqrt%28295%2A.94%2A.06%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4.0790<BR>\n" );
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