document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199557>Question 1199557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given:\r<BR>\n" );
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document.write( "N = 19<BR>\n" );
document.write( "alpha = 0.05, 1 tail<BR>\n" );
document.write( "Null hypothesis: The coin is fair<BR>\n" );
document.write( "Alternative hypothesis: The coin is biased towards heads<BR>\n" );
document.write( "Obtained value: 17 heads\r<BR>\n" );
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document.write( "a) What is the significance? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848249 by </B><A HREF=/tutors/aboutme.mpl?userid=textot><B>textot(100)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=textot><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=848249\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The significance level (p-value) is the probability of observing a result as extreme or more extreme than the obtained value, assuming the null hypothesis is true. \r<BR>\n" );
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document.write( "In this case, the obtained value is 17 heads out of 19 flips. The p-value represents the probability of getting 17 or more heads if the coin is truly fair (probability of heads = 0.5).\r<BR>\n" );
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document.write( "**The significance (p-value) in this scenario is approximately 0.00036.** \r<BR>\n" );
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document.write( "This extremely low p-value indicates strong evidence against the null hypothesis (that the coin is fair). It suggests that the observed outcome is highly unlikely to have occurred by chance if the coin were truly fair.<BR>\n" );
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