document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104942>Question 1104942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A researcher is interested in testing the claim that more than 80% of the adults believe in global warming.  She conducted a survey on a random sample of 800 adults. The survey showed that 650 adults in the sample believe in global warming. Assume the researcher wants to use a 0.05 significance level to test the claim.<BR>\n" );
document.write( "(a)Identify the null hypothesis and the alternative hypothesis.<BR>\n" );
document.write( "(b)Determine the test statistic.(Show all work) <BR>\n" );
document.write( "(c)Determine the P-value for this test. (Show all work)  <BR>\n" );
document.write( "(d)Is there sufficient evidence to support the claim that more than 80% of adults believe in global <BR>\n" );
document.write( "warming? Explain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719725 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=719725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A researcher is interested in testing the claim that more than 80% of the adults believe in global warming. <BR>\n" );
document.write( "She conducted a survey on a random sample of 800 adults. The survey showed that 650 adults in the sample believe in global warming. Assume the researcher wants to use a 0.05 significance level to test the claim.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Sample proportion = 650/800 = 0.8125<BR>\n" );
document.write( "Std = sqrt(0.8*0.2/800)= 0.0141<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(a)Null hypothesis and the alternative hypothesis.<BR>\n" );
document.write( "Ho: p = 0.8 (claim)<BR>\n" );
document.write( "Ha:: p # 0.8<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "(b)Determine the test statistic.(Show all work)<BR>\n" );
document.write( "z(0.8125) = (0.8125-0.8)/0.0141 = 0.8865<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "p-value = 2*p(z > 0.8865) = 2*normalcdf(0.8865,100) = 0.375<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Conclusion Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "Conclusion:: The test results support the claim that p = 0.8<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( " <BR>\n" );
document.write( "(c)Determine the P-value for this test. (Show all work) <BR>\n" );
document.write( "(d)Is there sufficient evidence to support the claim that more than 80% of adults believe in global <BR>\n" );
document.write( "warming? Explain.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );