document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250156>Question 250156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 47. Pharmacology In placebo-controlled trials of ProzacŪ, a<BR>\n" );
document.write( "drug that is prescribed to fight depression, 23% of the<BR>\n" );
document.write( "patients who were taking the drug experienced nausea,whereas 10% of the patients who were taking the placebo experienced nausea.*\r<BR>\n" );
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document.write( "a. If 50 patients who are taking ProzacŪ are selected, what<BR>\n" );
document.write( "is the probability that 10 or more will experience nausea?\r<BR>\n" );
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document.write( "b. Of the 50 patients in part a, what is the expected number<BR>\n" );
document.write( "of patients who will experience nausea?\r<BR>\n" );
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document.write( "c. If a second group of 50 patients receives a placebo,<BR>\n" );
document.write( "what is the probability that 10 or fewer will experience<BR>\n" );
document.write( "nausea?\r<BR>\n" );
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document.write( "d. If a patient from a study of 1000 people, who are equally<BR>\n" );
document.write( "divided into two groups (those taking a placebo and<BR>\n" );
document.write( "those taking ProzacŪ), is experiencing nausea, what is<BR>\n" );
document.write( "the probability that he/she is taking ProzacŪ?\r<BR>\n" );
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document.write( "e. Since .23 is more than twice as large as .10, do you think<BR>\n" );
document.write( "that people who take ProzacŪ are more likely to experience<BR>\n" );
document.write( "nausea than those who take a placebo? Explain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182136 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=182136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pharmacology In placebo-controlled trials of ProzacŪ, a<BR>\n" );
document.write( "drug that is prescribed to fight depression, 23% of the<BR>\n" );
document.write( "patients who were taking the drug experienced nausea,whereas 10% of the patients who were taking the placebo experienced nausea.* <BR>\n" );
document.write( "a. If 50 patients who are taking ProzacŪ are selected, what<BR>\n" );
document.write( "is the probability that 10 or more will experience nausea?<BR>\n" );
document.write( "--<BR>\n" );
document.write( "It's binomial with n=50 , p = 0.23 , 10 <= x <= 50<BR>\n" );
document.write( "Prob = 1 - binomcdf(50, 0.23, 9) = 0.7436<BR>\n" );
document.write( "------------------------------------------------------------------ <BR>\n" );
document.write( "b. Of the 50 patients in part a, what is the expected number<BR>\n" );
document.write( "of patients who will experience nausea?<BR>\n" );
document.write( "np = 50*0.23<BR>\n" );
document.write( "--------------------- <BR>\n" );
document.write( "c. If a second group of 50 patients receives a placebo,<BR>\n" );
document.write( "what is the probability that 10 or fewer will experience<BR>\n" );
document.write( "nausea?<BR>\n" );
document.write( "binomcdf(50,0.10,10)= 0.9906<BR>\n" );
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document.write( " <BR>\n" );
document.write( "d. If a patient from a study of 1000 people, who are equally<BR>\n" );
document.write( "divided into two groups (those taking a placebo and<BR>\n" );
document.write( "those taking ProzacŪ), is experiencing nausea, what is<BR>\n" );
document.write( "the probability that he/she is taking ProzacŪ? <BR>\n" );
document.write( "P(Prozac|nausea) = P(Prozac and nausea)/P(nausea)<BR>\n" );
document.write( "= (0.23)/[(P(nausea|Prozac) + P(nausea|placebo)] = 0.23/(0.23 + 0.10)<BR>\n" );
document.write( "= 0.23/0.33 = 0.6970<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "e. Since .23 is more than twice as large as .10, do you think<BR>\n" );
document.write( "that people who take ProzacŪ are more likely to experience<BR>\n" );
document.write( "nausea than those who take a placebo? Explain.<BR>\n" );
document.write( "I'll leave that to you.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H.<BR>\n" );
document.write( "0 solutions<BR>\n" );
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