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 #599350 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=599350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)\r<BR>\n" );
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document.write( "This is a right tailed test. So we want to find the value k that makes P(Z > k) = 0.05 true.\r<BR>\n" );
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document.write( "Use a table like <a  rel=nofollow HREF=\"http://www.sjsu.edu/faculty/gerstman/StatPrimer/t-table.pdf\">this one</a>. Look at the bottom Z row. Then find the column that has \"0.05\" in the \"one tail row\". The intersection of the row and column leads to 1.645\r<BR>\n" );
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document.write( "So 1.645 is the critical value we're after. That rounds to 1.65\r<BR>\n" );
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document.write( "Decision Rule: Reject H0 if z > <font color=\"red\">1.65</font>\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "Standard Error:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SE+=+sqrt%28%280.83%2A%281-0.83%29%29%2F140%29 ALIGN=MIDDLE  ALT=\"SE+=+sqrt%28%280.83%2A%281-0.83%29%29%2F140%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SE+=+0.03174676586452 ALIGN=MIDDLE  ALT=\"SE+=+0.03174676586452\"   DISABLED_style= \"max-width:90%; height:auto;\" > (approximate)\r<BR>\n" );
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document.write( "Test Statistic<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%280.88-0.83%29%2F%280.03174676586452%29 ALIGN=MIDDLE  ALT=\"z+=+%280.88-0.83%29%2F%280.03174676586452%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+1.57496357938871 ALIGN=MIDDLE  ALT=\"z+=+1.57496357938871\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+1.57 ALIGN=MIDDLE  ALT=\"z+=+1.57\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The test statistic is <font color=\"red\">1.57</font>\r<BR>\n" );
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document.write( "c)\r<BR>\n" );
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document.write( "Go back to part a) where the decision rule is set up.\r<BR>\n" );
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document.write( "The critical value is 1.65 and the test statistic 1.57\r<BR>\n" );
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document.write( "Since the test statistic is NOT larger than the critical value, we <font color=\"red\"><u>fail</u> to reject</font> the null hypothesis.\r<BR>\n" );
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document.write( "We do not have enough evidence to reject the null. </SPAN>\n" );
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