document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860416>Question 860416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A statistician claims that less than 25% of the adults in the US want the government to clean up the environment. You want to test the claim. You find that in a sample of 200 adults, 60 say they want the gov. to clean up. At alfa=0.10, do you have enough evidence to reject the claim? <BR>\n" );
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document.write( "1. State null and alternative hypothesis<BR>\n" );
document.write( "2. Calculate z<BR>\n" );
document.write( "3. Compare P to alfa, or identify the rejection region<BR>\n" );
document.write( "4. State results in term H0 and Ha   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518485 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=518485\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A statistician claims that less than 25% of the adults in the US want the government to clean up the environment. You want to test the claim. You find that in a sample of 200 adults, 60 say they want the gov. to clean up. At alfa=0.10, do you have enough evidence to reject the claim? \r<BR>\n" );
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document.write( "1. State null and alternative hypothesis<BR>\n" );
document.write( "Ho: p >= 0.25<BR>\n" );
document.write( "Ha: p < 0.25(claim)<BR>\n" );
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document.write( "p-hat = 60/200 = 0.3<BR>\n" );
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document.write( "z(0.3) = (0.3-0.25)/sqrt[0.25*0.75/200] = 1.6330<BR>\n" );
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document.write( "P-value = P(z < 1.6330) = 0.9487<BR>\n" );
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document.write( "Since the p-value is greater than 10%, fail to reject Ho.<BR>\n" );
document.write( "The test results do not support the claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "2. Calculate z<BR>\n" );
document.write( "3. Compare P to alfa, or identify the rejection region<BR>\n" );
document.write( "4. State results in term H0 and Ha <BR>\n" );
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