document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122520>Question 122520</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321331834/algebrahomeworkh>Elementary Stastics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Here is the question and the answer that I came up with.  My answer does not match what the textbook shows is the correct answer (which is 0.738, yes).  What did I do wrong?\r<BR>\n" );
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document.write( "11.  Mendelian Genetics.  When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas.  Based on those results, estimate the probability of getting an offspring pea that is green.  Is the result reasonably close to the value of ¾ that was expected?<BR>\n" );
document.write( "p0 = 428/(428 + 152) = 0.737931<BR>\n" );
document.write( "Hypotheses: H0: p = 0.75 vs Ha: p   0.75 <BR>\n" );
document.write( "Level of Significance: &#61537;&#61472;&#61501;&#61472;&#61493;&#61477;<BR>\n" );
document.write( "Decision Rule: Reject the null hypothesis if |z| > z0.025 = 1.956<BR>\n" );
document.write( "Calculation: z =  -0.67125<BR>\n" );
document.write( "Conclusion: Since |z| < 1.956, the null hypothesis is not rejected.  Therefore, there is insufficient evidence to conclude that the result is different from the probability of ¾ that was expected.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90004 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=90004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is the question and the answer that I came up with. My answer does not match what the textbook shows is the correct answer (which is 0.738, yes). What did I do wrong? <BR>\n" );
document.write( "11. Mendelian Genetics. When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of ¾ that was expected?<BR>\n" );
document.write( "p0 = 428/(428 + 152) = 0.737931<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Your answer is the same as the correct answer.<BR>\n" );
document.write( "If you round your answer of 0.737931 to three decimals you will <BR>\n" );
document.write( "get 0.738.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "You are not asked to make a Hypothesis Test. It is not needed.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );