document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=834049>Question 834049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose we want to test the claim that students at UF spend less than 6 hours per week on Facebook on average (null hypothesis: &#956;=6, alternative hypothesis: &#956;<6), and suppose that this test yielded a p-value of 0.03. Determine if each of the following statements is true or false.<BR>\n" );
document.write( "(a) We can reject the null hypothesis at a=0.05, but not at a=0.01<BR>\n" );
document.write( "(b) We reject the null hypothesis at a=0.10, but not at a=0.05<BR>\n" );
document.write( "(c) 97% of students in the sample spend less than 6 hours/day on Facebook<BR>\n" );
document.write( "(d) 97% of students in the population spend less than 6 hours/day on Facebook<BR>\n" );
document.write( "(e) The probability of observing results as low as these (or lower) if the null hypothesis is true is 0.03<BR>\n" );
document.write( "(f) The probability of observing results as low as these (or lower) if the alternative hypothesis is true is 0.03 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #502862 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=502862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose we want to test the claim that students at UF spend less than 6 hours per week on Facebook on average (null hypothesis: &#956;=6, alternative hypothesis: &#956;<6), and suppose that this test yielded a p-value of 0.03. Determine if each of the following statements is true or false.<BR>\n" );
document.write( "Ho: u >= 6 hrs<BR>\n" );
document.write( "Ha: u < 6 hrs (claim)<BR>\n" );
document.write( "p-value = P(Proportion of tested < 6 hrs) < 3%<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "(a) We can reject the null hypothesis at a=0.05, but not at a=0.01:: true<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "(b) We reject the null hypothesis at a=0.10, but not at a=0.05:: false<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "(c) 97% of students in the sample spend less than 6 hours/day on Facebook:: true<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "(d) 97% of students in the population spend less than 6 hours/day on book::false<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "(e) The probability of observing results as low as these (or lower) if the null hypothesis is true is 0.03:: true<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "(f) The probability of observing results as low as these (or lower) if the alternative hypothesis is true is 0.03:: false\r<BR>\n" );
document.write( "\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" );