document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335471>Question 335471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The proportion of individuals insured by the All-Driver Automobile Insurance Company who received at least one traffic ticket during a five-year period is .15.\r<BR>\n" );
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document.write( "Show the sampling distribution of –p if a random sample of 150 insured individuals is use to estimate the proportion having received at least one ticket.\r<BR>\n" );
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document.write( "What is the probability that the sample proportion will be within +or- .03 of the population proportion?<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 #240444 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=240444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The proportion of individuals insured by the All-Driver Automobile Insurance Company who received at least one traffic ticket during a five-year period is .15.<BR>\n" );
document.write( "p = 0.15<BR>\n" );
document.write( "std = sqrt(pq) = sqrt(0.15*0.85) = 0.3571<BR>\n" );
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document.write( "Show the sampling distribution of p-hat if a random sample of 150 insured individuals is used to estimate the proportion having received at least one ticket.<BR>\n" );
document.write( "mean = 0.15<BR>\n" );
document.write( "standard deviation: sqrt(pq/n)= sqrt{0.15*0.85/150) = 0.0292<BR>\n" );
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document.write( "What is the probability that the sample proportion will be within +or- .03 of the population proportion?<BR>\n" );
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document.write( "0.03/0.0292 = 1.0290<BR>\n" );
document.write( "-0.03/0.0292 = -1.0290<BR>\n" );
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document.write( "+0.03 is 1.0290 standard deviations to the right of p=0.15<BR>\n" );
document.write( "-0.03 is 1.0292 standard deviations to the left of p= 0.15<BR>\n" );
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document.write( "The probability the sample proportion will be in the prescribed<BR>\n" );
document.write( "interval is 2*P(0<= z <=1.0292) = 0.6966<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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