document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183962>Question 1183962</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve equation.\r<BR>\n" );
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document.write( "Calculate the test statistic:  X2= Σ (O−E)2E . The observed frequencies from three categories are: 7, 9, 14. Assume that we want to use 0.10 significance level to test the claim that the three categories are equally likely. </SPAN>\n" );
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document.write( "χ2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%28O%5Bk%5D+-+E%5Bk%5D%29%5E2%2FE%5Bk%5D%2C+k=1%2C3%29+=+%287+-+10%29%5E2%2F10+%2B+%289+-+10%29%5E2%2F10+%2B+%2814+-+10%29%5E2%2F10++=+9%2F10+%2B+1%2F10+%2B+16%2F10+=+2.6 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "For d.f. = 3 - 1 = 2,  p-value = P(χ2 > 2.6) = 0.27 > 0.10, hence do NOT reject the null hypothesis that the three categories are equally likely.\r<BR>\n" );
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document.write( "***Chi-square probability was taken from https://stattrek.com/online-calculator/chi-square.aspx. </SPAN>\n" );
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