document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=597285>Question 597285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ayuh Fishin' Kamps on Moosehead lake advertises that 80% of its guests manage to catch fish every day they are there. A random sample taken last summer showed that 58 out of 80 guests did catch at least one fish every day.<BR>\n" );
document.write( "A. What is the null hypothesis?<BR>\n" );
document.write( "B. Is this 1-tailed or 2-tailed test?<BR>\n" );
document.write( "C. What is the critical value for Z(alph=0.05)?<BR>\n" );
document.write( "D.Do we reject or fail to reject the null hypothesis? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378116 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=378116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ayuh Fishin' Kamps on Moosehead lake advertises that 80% of its guests manage to catch fish every day they are there. A random sample taken last summer showed that 58 out of 80 guests did catch at least one fish every day.<BR>\n" );
document.write( "A. What is the null hypothesis?<BR>\n" );
document.write( "Ho: p >= 0.8<BR>\n" );
document.write( "Ha: p < 0.8<BR>\n" );
document.write( "----<BR>\n" );
document.write( "B. Is this 1-tailed or 2-tailed test?<BR>\n" );
document.write( "Ha indicates it is a 1-tailed test.<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "C. What is the critical value for Z(alph=0.05)?<BR>\n" );
document.write( "z = 1.645<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "D.Do we reject or fail to reject the null hypothesis?<BR>\n" );
document.write( "Sample proportion: 58/80 = 0.725<BR>\n" );
document.write( "z(0.725) = (0.725-0.80)/sqrt(0.8*0.2/80) = -1.6771<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "p-value = P(z < -1.6771) = 0.0476<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Since the p-value is less than 5%, reject Ho.<BR>\n" );
document.write( "==============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );