document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=332023>Question 332023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hotel installs smoke detectors with adjustable sensitivity in all public guest rooms. <BR>\n" );
document.write( "(a) State the null and alternative hypotheses. <BR>\n" );
document.write( "(b) Define Type I and II error. <BR>\n" );
document.write( "What are the consequences of each? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237978 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=237978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You should set up the hypothesis such that type I errors are worse than type II errors<BR>\n" );
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document.write( "Ho: Not all public guest rooms have smoke detectors with adjustable sensitivity<BR>\n" );
document.write( "Ha: All public guest rooms have smoke detectors with adjustable sensitivity<BR>\n" );
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document.write( "Type I error: <BR>\n" );
document.write( "Probability(Reject Ho / when Ho is true)<BR>\n" );
document.write( "which means you conclude that all guest rooms have the detectors when in fact they all dont.  <BR>\n" );
document.write( "Consequences:  You assume a level of safety that does not exist, which could lead to fire damage, injury and lawsuits.<BR>\n" );
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document.write( "Type II error: <BR>\n" );
document.write( "Probability(Accepting Ho / when Ho is false)<BR>\n" );
document.write( "which means you conclude that NOT all guest rooms have the detectors when in fact they all do.  <BR>\n" );
document.write( "Consequences:  You incur extra costs,by buying more detectors than you need </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );