document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=305680>Question 305680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ONE SAMPLE HYPOTHESIS TEST FOR PROPORTION:  The Webster University librarian believes that more than 60% of the books checked out by students was fictional material.  In a random sample of 1000 students who checked books out in the last year, 628 checked out fictional material.  What can one conclude about the librarian's hypothesis at a level of significance of .05?      <BR>\n" );
document.write( "2a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED (circle one)<BR>\n" );
document.write( "2b) P-value = ________________	<BR>\n" );
document.write( "2c) REJECT THE NULL or DO NOT REJECT THE NULL? (circle one)<BR>\n" );
document.write( "2d) Can we conclude the librarian’s claim is correct?     YES or NO (circle one)<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 #218945 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=218945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ONE SAMPLE HYPOTHESIS TEST FOR PROPORTION: The Webster University librarian believes that more than 60% of the books checked out by students was fictional material. In a random sample of 1000 students who checked books out in the last year, 628 checked out fictional material. What can one conclude about the librarian's hypothesis at a level of significance of .05?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "2a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED (circle one)<BR>\n" );
document.write( "Ans: The key words are \"more than\"; so the test is right tail.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "2b) P-value = ________________<BR>\n" );
document.write( "p-hat = 628/1000 = 0.628<BR>\n" );
document.write( "--<BR>\n" );
document.write( "test stat: z(0.628)=(0.628-0.600)/sqrt(0.6*0.4/1000) = 1.8074<BR>\n" );
document.write( "p-value = P(z > 1.8074) = 0.0354<BR>\n" );
document.write( "------------------------------- <BR>\n" );
document.write( "2c) REJECT THE NULL or DO NOT REJECT THE NULL? (circle one)<BR>\n" );
document.write( "Since the p-value is less than 5%, reject Ho.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "2d) Can we conclude the librarian’s claim is correct? YES or NO (circle one)<BR>\n" );
document.write( "YES<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );