document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159617>Question 1159617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In clinical trials of Nasonex, 3774 patients were randomly divided into two groups. The patients in group 1 (experimental group) received 200 milligrams of Nasonex, while the patients in group 2 (control group) received a placebo. Of the 2103 patients in the experimental group, 547 reported headaches as a side effect. Of the 1671 patients in the control group, 368 reported headaches as a side effect. Is there significant evidence to conclude that the proportion of Nasonex users who experienced headaches as a side effect is greater than the proportion in the control group at the alpha = 0.05 level of significance? To answer this, complete the following steps.<BR>\n" );
document.write( "(a) State the appropriate Null Hypothesis and Alternate Hypotheses<BR>\n" );
document.write( "(b) Find the appropriate “p of hat” for the experimental group.<BR>\n" );
document.write( "(c) Check the appropriate criteria to continue the appropriate testing has been met.<BR>\n" );
document.write( "(d) Use your calculator to directly find the z-score and p-value for this situation.<BR>\n" );
document.write( "(e) Complete your analysis and explain what your results determine about the hypothesis statements for this situation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782900 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=782900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Random sample and large enough to test using 2-sample proportion test<BR>\n" );
document.write( "p1 hat for experimental is 0.2601<BR>\n" );
document.write( "p2 hat for placebo is 0.2202\r<BR>\n" );
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document.write( "Ho: experimental is less than or equal to p2<BR>\n" );
document.write( "Ha: experimental is more than p2<BR>\n" );
document.write( "alpha=0.05 p{reject Ho|Ho true}<BR>\n" );
document.write( "test statistic is a z 0.95<BR>\n" );
document.write( "reject if z>1.645\r<BR>\n" );
document.write( "\n" );
document.write( "test<BR>\n" );
document.write( "z=(p1 hat-p2 hat)/SE<BR>\n" );
document.write( "z=2.84 <BR>\n" );
document.write( "p-value=0.0023\r<BR>\n" );
document.write( "\n" );
document.write( "reject Ho and conclude there is ample evidence to say that there frequency of headaches as a side effect is greater in the experimental group than in the control group.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );