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Chi-Square for Goodness of Fit Calculator


INSTRUCTION: Use ',' or new line to separate between values

You can see a sample solution below. Enter your data to get the solution for your question

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$$ \displaylines{---} $$
$$ \displaylines{The\;null\;and\;alternative\;hypothesis\;are: \\ \\ H_{0}:\;All\;are\;in\;claimed\;frequencies \\ \\ H_{a}:\;H_{0}\;is\;false \\ \\ alpha= 0.05 } $$
$$ Observed $$
$$ Expected frequencies $$
$$ Obs - Exp $$
$$ (Obs - Exp)^2 $$
$$ [(Obs - Exp)^2]/Exp $$
$$ 20 $$
$$ 24 $$
$$ -4 $$
$$ 16 $$
$$ 0.666667 $$
$$ 45 $$
$$ 48 $$
$$ -3 $$
$$ 9 $$
$$ 0.1875 $$
$$ 67 $$
$$ 55 $$
$$ 12 $$
$$ 144 $$
$$ 2.618182 $$
$$ 77 $$
$$ 72 $$
$$ 5 $$
$$ 25 $$
$$ 0.347222 $$
$$ 89 $$
$$ 84 $$
$$ 5 $$
$$ 25 $$
$$ 0.297619 $$
$$ 102 $$
$$ 112 $$
$$ -10 $$
$$ 100 $$
$$ 0.892857 $$
$$ 40 $$
$$ 25 $$
$$ 15 $$
$$ 225 $$
$$ 9.0 $$
$$ 120 $$
$$ 125 $$
$$ -5 $$
$$ 25 $$
$$ 0.2 $$
$$ Total $$
$$ $$
$$ $$
$$ $$
$$ 14.210047 $$
$$ \displaylines{} $$
$$ \displaylines{Sum\;of\;all\;elements\;in\;last\;colomn\;is\; \chi^{2}= \sum_{}^{}\frac{(E-O)^{2}}{E} = \mathbf{\color{Red}{14.210047}} \\ \\ df\;=\; n-1= 8-1= 7 \\ \\ p\;value\;for\;\chi^{2}\;=\;14.210047\;and\;df\;=\;7\;is\; p= 0.047569 \\ \\ p-value\;is\;less\;than\;\alpha \\ \\ So\;There\;is\;enough\;evidence\;to\;reject\;H_{0}\; } $$