document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041208>Question 1041208</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A coin is tossed 200 times and it lands heads up 115 times.  At the 5% significance level, is there sufficient evidence to claim that the coin is not equally likely to land heads or tails?\r<BR>\n" );
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document.write( "(a) State the null & alternative hypotheses.\r<BR>\n" );
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document.write( "H0:\r<BR>\n" );
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document.write( "Ha:\r<BR>\n" );
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document.write( "p-value = _______\r<BR>\n" );
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document.write( "Decision:  ___________ (Reject, Fail to reject) H0.\r<BR>\n" );
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document.write( "Interpretation: In Words\r<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 #656156 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=656156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A coin is tossed 200 times and it lands heads up 115 times. At the 5% significance level, is there sufficient evidence to claim that the coin is not equally likely to land heads or tails? \r<BR>\n" );
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document.write( "(a) State the null & alternative hypotheses. <BR>\n" );
document.write( "H0: p = 1/2 <BR>\n" );
document.write( "Ha: p # 1/2 (claim)<BR>\n" );
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document.write( "p-hat = 115/200 = 0.575<BR>\n" );
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document.write( "z(0.575) = (0.575-0.5)/sqrt(0.5^2/200) = 2.1213<BR>\n" );
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document.write( "p-value = 2*p(z > 2.1213) = 2*normalcdf(2.1213,100) = 0.0339<BR>\n" );
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document.write( "Decision: Since the p-value is less than 5%, Reject H0.<BR>\n" );
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document.write( "Interpretation: In Words <BR>\n" );
document.write( "Decision:: The test results support the claim that the<BR>\n" );
document.write( "coin is not equally likely to land heads or tails at<BR>\n" );
document.write( "the 5% significance level.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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