document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040525>Question 1040525</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a 2 parter using the same table.  I do not understand the concept, can you explain this process and the solution.  Thanks\r<BR>\n" );
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document.write( "Suppose that for a certain illness, the probability is 55% that a given patient will improve without treatment. The probability that at least n out of 30 patients will improve without treatment is given in the following table.\r<BR>\n" );
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document.write( "N                                     19       20    21      22     23     24   24<BR>\n" );
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document.write( "Probability that at least n improve  0.23     0.14   0.069  0.031  0.012  0.0040\r<BR>\n" );
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document.write( "We give an experimental drug to 30 patients who have this illness. Suppose we count the test significant if the p-value is 0.06 or less. How many patients must show improvement in order to make the test statistically significant?<BR>\n" );
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document.write( "	19.<BR>\n" );
document.write( "	21.<BR>\n" );
document.write( "	23.<BR>\n" );
document.write( "	22.\r<BR>\n" );
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document.write( "10. 	Suppose that for a certain illness, the probability is 55% that a given patient will improve without treatment. The probability that at least n out of 30 patients will improve without treatment is given in the following table.\r<BR>\n" );
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document.write( "An experimental drug is given to 30 patients who have this illness. If 20 people show improvement, what is the p-value?<BR>\n" );
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document.write( "	0.23.<BR>\n" );
document.write( "	0.069.<BR>\n" );
document.write( "	0.012.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655344 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This problem requires the application of the  binomial probability distribution<BR>\n" );
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document.write( "recheck the probabilities you have listed, they do not match with the values of n<BR>\n" );
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document.write( "there are 7 values of n but only 6 probabilities but the 0.23 probability is suspect<BR>\n" );
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document.write( "you need to sum the probabilities and calculate the mean and standard deviation<BR>\n" );
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document.write( "standard error(SE) = sample standard deviation / square root(30)<BR>\n" );
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document.write( "test statistic = (probability from list - sample mean) / SE<BR>\n" );
document.write( "you will have 6 or 7 test statistics<BR>\n" );
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document.write( "consult z-tables for the p-value corresponding to each test statistic<BR>\n" );
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document.write( "for the second part, using a binomial calculator<BR>\n" );
document.write( "P ( X = 20 ) = 0.0656374<BR>\n" );
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document.write( "the probability in the choices is 0.069<BR>\n" );
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