document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042151>Question 1042151</A>: <I><SPAN STYLE=\"word-break: break-all;\">  600 people randomly polled from acityshowed that 330 supported gun control.Test the claim that the majority (more than 50%) in the city supported gun control.  Use a significance level of 0.05.\r<BR>\n" );
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document.write( "(a)    What’s the sample proportion, ?\r<BR>\n" );
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document.write( "(b)   State your hypotheses.   H0:\r<BR>\n" );
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document.write( "                                             Ha:\r<BR>\n" );
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document.write( "(c)    Check conditions required for computations.\r<BR>\n" );
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document.write( "(d)   Compute the observed value of the test statistic.z =\r<BR>\n" );
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document.write( "(e)    Find the p-value.p-value =\r<BR>\n" );
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document.write( "(f)    Do you reject or not reject H0?\r<BR>\n" );
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document.write( "(g)   Interpret your decision in part (f).\r<BR>\n" );
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document.write( "(h)   Find a 90% confidence interval for the percentage of people in the city who supported gun control.\r<BR>\n" );
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document.write( "(i)     Interpret your result in part (h).\r<BR>\n" );
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document.write( "(j)     Do the conclusions in parts (g) and (i) agree with each other?<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 #657242 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=657242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 600 people randomly polled from acityshowed that 330 supported gun control.Test the claim that the majority (more than 50%) in the city supported gun control. Use a significance level of 0.05. <BR>\n" );
document.write( "(a) What’s the sample proportion, 330/600 = 0.55<BR>\n" );
document.write( "(b) State your hypotheses. <BR>\n" );
document.write( "H0: p <= 0.5<BR>\n" );
document.write( "Ha: p > 0.5 (claim)<BR>\n" );
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document.write( "(c) Check conditions required for computations. <BR>\n" );
document.write( "(d) Compute the observed value of the test statistic.<BR>\n" );
document.write( "z(0.55) = (0.55-0.50)/sqrt(0.5*0.5/600) = 2.449<BR>\n" );
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document.write( "(e) Find the p-value.p-value = p(z > 2.449) = normalcdf(2.449,100) = 0.007<BR>\n" );
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document.write( "(f) Do you reject or not reject H0? reject <BR>\n" );
document.write( "(g) Interpret your decision in part (f). Since the p-value is less<BR>\n" );
document.write( "than 5%, reject Ho.<BR>\n" );
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document.write( "(h) Find a 90% confidence interval for the percentage of people in the city who supported gun control.<BR>\n" );
document.write( "ME = 1.645*sqrt(0.5*0.5/600) = 0.0336 <BR>\n" );
document.write( "90%CI:: 0.55-0.0336 < p < 0.55+0.0336<BR>\n" );
document.write( "90%CI:: 0.5164 < p < 0.5836<BR>\n" );
document.write( "(i) Interpret your result in part (h).<BR>\n" );
document.write( "Reject Ho because 0.55 is not in the 90% CI <BR>\n" );
document.write( "(j) Do the conclusions in parts (g) and (i) agree with each other?<BR>\n" );
document.write( "Yes<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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