document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765249>Question 765249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Approximately 19.4% of the U.S population age 5 years and above speaks a language other than English at home. In a large metropolitan area, it was found that 94 residents (age 5 years and above) out of 400 randomly selected residents spoke a language other than English at home. Use the z-test for for a proportion, and test the claim that the proportion for this metropolitan area is higher than the national proportion. Use alpha=0.01 and report the p-value.\r<BR>\n" );
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document.write( "Any help with this will be deeply appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466099 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=466099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Approximately 19.4% of the U.S population age 5 years and above speaks a language other than English at home. In a large metropolitan area, it was found that 94 residents (age 5 years and above) out of 400 randomly selected residents spoke a language other than English at home. Use the z-test for for a proportion, and test the claim that the proportion for this metropolitan area is higher than the national proportion. Use alpha=0.01 and report the p-value. <BR>\n" );
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document.write( "Ho: p = 0.194<BR>\n" );
document.write( "Ha: p > 0.194 (claim)<BR>\n" );
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document.write( "sample proportion = p-hat = 94/400 = 0.235<BR>\n" );
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document.write( "test stat:: z(0.235) = (0.235-0.194)/sqrt[0.194*0.806/400] = 2.0737<BR>\n" );
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document.write( "p-value = P(z > 2.0737) = invNorm(2.0737,100) = 0.0191<BR>\n" );
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document.write( "Conclusion: Since the p-value is greater tha 1% fail to reject Ho.<BR>\n" );
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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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