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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

$$\displaylines{---}$$
$$\displaylines{The\;null\;and\;alternative\;hypothesis\;are: \\ \\ H_{0}:\;All\;are\;in\;claimed\;frequencies \\ \\ H_{a}:\;H_{0}\;is\;false \\ \\ alpha= 0.05 }$$
$$Observed$$
$$Expected frequencies$$
$$Obs - Exp$$
$$(Obs - Exp)^2$$
$$[(Obs - Exp)^2]/Exp$$
$$20$$
$$24$$
$$-4$$
$$16$$
$$0.666667$$
$$45$$
$$48$$
$$-3$$
$$9$$
$$0.1875$$
$$67$$
$$55$$
$$12$$
$$144$$
$$2.618182$$
$$77$$
$$72$$
$$5$$
$$25$$
$$0.347222$$
$$89$$
$$84$$
$$5$$
$$25$$
$$0.297619$$
$$102$$
$$112$$
$$-10$$
$$100$$
$$0.892857$$
$$40$$
$$25$$
$$15$$
$$225$$
$$9.0$$
$$120$$
$$125$$
$$-5$$
$$25$$
$$0.2$$
$$Total$$



$$14.210047$$
$$\displaylines{}$$
$$\displaylines{Sum\;of\;all\;elements\;in\;last\;colomn\;is\; \chi^{2}= \sum_{}^{}\frac{(E-O)^{2}}{E} = \mathbf{\color{Red}{14.210047}} \\ \\ df\;=\; n-1= 8-1= 7 \\ \\ p\;value\;for\;\chi^{2}\;=\;14.210047\;and\;df\;=\;7\;is\; p= 0.047569 \\ \\ p-value\;is\;less\;than\;\alpha \\ \\ So\;There\;is\;enough\;evidence\;to\;reject\;H_{0}\; }$$