document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119778>Question 1119778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted.\r<BR>\n" );
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document.write( "(b) What proportion of children in this sample are nearsighted?<BR>\n" );
document.write( "(round to four decimal places)\r<BR>\n" );
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document.write( "(c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (use the Z-statistic).<BR>\n" );
document.write( "Z = (please round to two decimal places)\r<BR>\n" );
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document.write( "(d) What is the p-value for this hypothesis test?<BR>\n" );
document.write( "p =  (please round to four decimal places)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735513 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=735513\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the proportion is the point estimate or 21/194, or 0.1082<BR>\n" );
document.write( "Ho:sample has proportion of 0.08<BR>\n" );
document.write( "Ha:it doesn't<BR>\n" );
document.write( "alpha=0.05<BR>\n" );
document.write( "z=(sample-0.08)/sqrt (0.08*0.92/194), and the denominator is the SE of 0.0195<BR>\n" );
document.write( "z=0.0282/0.0195<BR>\n" );
document.write( "z=1.45  ANSWER<BR>\n" );
document.write( "p-value is twice that for z=1.45 or 0.0735*2=0.1470 ANSWER<BR>\n" );
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