document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105773>Question 1105773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	For each of the following problems, please provide the requested information. <BR>\n" );
document.write( "	.	(a)  What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? &#8232;<BR>\n" );
document.write( "	.	(b)  Identify the sampling distribution you will us: the standard normal or Student’s t. Explain the rationale for your choice. What is the value of the sample test statistic? &#8232;<BR>\n" );
document.write( "	.	(c)  Find (or estimate) the P &#8722; value. Sketch the sampling distribution and show the area corre- sponding to the P &#8722; value. &#8232;<BR>\n" );
document.write( "(d) Find the critical value(s). <BR>\n" );
document.write( "(e) Based on your answers for parts (a) to (d), will you reject or fail to reject the null hypothesis? Interpret your decision in the context of the application. <BR>\n" );
document.write( "			36.	A Statistics teacher claims that 60% of his students will pass the class with an ”A”. Due to change of text book and educational objectives there is a worry that the number of students getting an ”A” will be smaller now. A random sample of 80 students shows that 43 got an ”A”. Test the teachers claim at significance level of 5%. &#8232; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720837 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=720837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For each of the following problems, please provide the requested information. <BR>\n" );
document.write( ".	(a)  What is the level of significance? 5%<BR>\n" );
document.write( "State the null and alternate hypotheses.<BR>\n" );
document.write( "Ho: p >= 0.6<BR>\n" );
document.write( "Ha: p < 0.6<BR>\n" );
document.write( "Will you use a left-tailed, right-tailed, or two-tailed test? left-tailed<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( ".	(b)  Identify the sampling distribution you will us: the standard normal or Student’s t. Explain the rationale for your choice. What is the value of the sample test statistic? <BR>\n" );
document.write( "Note:: Most texts specify Student's t for tests of proportion.<BR>\n" );
document.write( "p(43/80) = (0.5375-0.6)/[0.6*0.4/sqrt(80)] = -1.1411<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( ".	(c)  Find (or estimate) the P &#8722; value. Sketch the sampling distribution and show the area corresponding to the P &#8722; value.<BR>\n" );
document.write( "p-value = P(t < -1.1411 when n = 79) = tcdf(-100,-1.1411,79) = 0.12<BR>\n" );
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document.write( "(d) Find the critical value(s).<BR>\n" );
document.write( "invT(0.05,79) = -1.66; Critical if t < -1.66<BR>\n" );
document.write( "----------------------------- <BR>\n" );
document.write( "(e) Based on your answers for parts (a) to (d), will you reject or fail to reject the null hypothesis? Interpret your decision in the context of the application. <BR>\n" );
document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "Since the test statistic does not fall in the critical region fail to reject Ho.<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Problem::<BR>\n" );
document.write( "	A Statistics teacher claims that 60% of his students will pass the class with an ”A”. Due to change of text book and educational objectives there is a worry that the number of students getting an ”A” will be smaller now. A random sample of 80 students shows that 43 got an ”A”. Test the teachers claim at significance level of 5%. <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" );