document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132572>Question 132572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that 78% of all Americans support a proposed law to require a police permit before someone is allowed to buy a gun. If a simple random sample of 45 Americans is to be taken, and each person is asked if they support the proposed law, and the sample proportion who do favor such a law is calculated:<BR>\n" );
document.write( "a.Specify the sampling distribution of the sample proportion.<BR>\n" );
document.write( "b.What is the probability that the sample proportion exceeds 80%?\r<BR>\n" );
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document.write( "Thanks For any help with this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96914 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=96914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that 78% of all Americans support a proposed law to require a police permit before someone is allowed to buy a gun. If a simple random sample of 45 Americans is to be taken, and each person is asked if they support the proposed law, and the sample proportion who do favor such a law is calculated:<BR>\n" );
document.write( "a.Specify the sampling distribution of the sample proportion.<BR>\n" );
document.write( "The mean of the sample-proportions is 0.78<BR>\n" );
document.write( "The standard deviation of the sample-proportions is sqrt[0.78*0.22/45]<BR>\n" );
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document.write( "b.What is the probability that the sample proportion exceeds 80%?<BR>\n" );
document.write( "Find the z-score of 0.80<BR>\n" );
document.write( "z(0.80) = (0.80-0.78)/sqrt[0.78*0.22/45] = 0.323875...<BR>\n" );
document.write( "P(p-hat >0.80) = P(z>0.323875...) = 0.3730\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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