document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262354>Question 262354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a coin was flipped 60 times and came up heads 38 times. a) at the .10 level of significance, is the coin biased toward heads? show your decision rule and calculations. b) Calculate a p-value and interpret it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193415 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=193415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a coin was flipped 60 times and came up heads 38 times.<BR>\n" );
document.write( "a) at the 0.10 level of significance, is the coin biased toward heads? show your decision rule and calculations. <BR>\n" );
document.write( "b) Calculate a p-value and interpret it.<BR>\n" );
document.write( "Ho: p = 1/2<BR>\n" );
document.write( "Ha: p is not equal to 1/2<BR>\n" );
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document.write( "p-hat = 38/60 = 19/30<BR>\n" );
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document.write( "test stat: t(19/30) = [(19/30))-(1/2)]/sqrt[(1/2)(1/2)/60] = 2.0656<BR>\n" );
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document.write( "p-value = 2*P(t > 2.0656 with df = 59) = 0.0433..<BR>\n" );
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document.write( "Conclusion: At the 5% significance level, since the p-value is less<BR>\n" );
document.write( "than 5%, reject Ho.  The test provides evidence the coin is biased<BR>\n" );
document.write( "toward heads.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );