document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176420>Question 1176420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Past studies have indicated that the percentage of smokers was estimated to be about 33%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 2215 people and found that 687 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.\r<BR>\n" );
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document.write( " Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places\r<BR>\n" );
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document.write( "Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #803396 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=803396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p hat is 0.31016<BR>\n" );
document.write( "assuming random sample etc.,<BR>\n" );
document.write( "the test statistic is z=(p hat-p)* sqrt(p(1-p)/n) with critical value of z < -1.645 for a 1 way test<BR>\n" );
document.write( "=-0.01984/sqrt(0.33*0.67/2215); sqrt term is 0.01<BR>\n" );
document.write( "=-1.984<BR>\n" );
document.write( "reject Ho and the number has decreased at the 1% level.<BR>\n" );
document.write( "p-value=0.0236.<BR>\n" );
document.write( "Note: where you round determines the last digit at the ten-thousandth place. </SPAN>\n" );
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