document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292053>Question 292053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following hypotheses are given.<BR>\n" );
document.write( "H0: p = 0.40<BR>\n" );
document.write( "H1: p &#8800; 0.40<BR>\n" );
document.write( "A sample of 120 observations revealed that p = 0.30 At the 0.05 significance level, can the null hypothesis be rejected?<BR>\n" );
document.write( "a. State the decision rule. <BR>\n" );
document.write( "b. Compute the value of the test statistic.   <BR>\n" );
document.write( "c. What is your decision regarding the null hypothesis?                    <BR>\n" );
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 #211055 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=211055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The following hypotheses are given.<BR>\n" );
document.write( "H0: p = 0.40<BR>\n" );
document.write( "H1: p &#8800; 0.40<BR>\n" );
document.write( "A sample of 120 observations revealed that p = 0.30 At the 0.05 significance level, can the null hypothesis be rejected?<BR>\n" );
document.write( "a. State the decision rule.<BR>\n" );
document.write( "If z > 1.96 or less than -1.96, reject Ho.<BR>\n" );
document.write( "------------------------------------- <BR>\n" );
document.write( "b. Compute the value of the test statistic.<BR>\n" );
document.write( "z(0.30) = (0.30-0.40)/sqrt[0.4*0.6/120] = -2.2361<BR>\n" );
document.write( "------------------------------------- <BR>\n" );
document.write( "c. What is your decision regarding the null hypothesis? <BR>\n" );
document.write( "Since the test stat is in the reject interval, reject Ho.<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" );