document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977800>Question 977800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following hypotheses are given. \r<BR>\n" );
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document.write( "H0 : &#960; &#8804; 0.83 <BR>\n" );
document.write( "H1 : &#960; > 0.83 \r<BR>\n" );
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document.write( "A sample of 140 observations revealed that p = 0.88. At the 0.05 significance level, can the null hypothesis be rejected? \r<BR>\n" );
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document.write( "a.	State the decision rule. (Round your answer to 2 decimal places.) \r<BR>\n" );
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document.write( "Reject H0 if z > ______? \r<BR>\n" );
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document.write( "b.	Compute the value of the test statistic. (Round your answer to 2 decimal places.) \r<BR>\n" );
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document.write( "Value of the test statistic=______?	\r<BR>\n" );
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document.write( "c.	What is your decision regarding the null hypothesis? \r<BR>\n" );
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document.write( "(reject/no not reject) H0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599347 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=599347\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> standard error = sqrt{ (0.83)(0.17)/140}=0.03175\r<BR>\n" );
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document.write( "Reject Ho if z>= 1.645 (1 tailed test)<BR>\n" );
document.write( "Test statistic is phat-p/SE= 0.05/0.03175<BR>\n" );
document.write( "=1.57\r<BR>\n" );
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document.write( "Fail to reject Ho.  There is insufficient evidence to conclude that the true proportion is >0.83.<BR>\n" );
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