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# An observed frequency distribution is as follows:$\begin{matrix} \text{Number of successes} & \text{0} & \text{1} & \text{2} & \text{3}\\ \text{Frequency} & \text{89} & \text{133} & \text{52} & \text{26}\\ \end{matrix}$Use a 0.05 significance level to test the claim that the observed frequencies fit a binomial distribution for which n=3 and p=1/3.

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### Set up $H_{0}$ and $H_{1}:$

$H_{0}:\,\,$There is a goodness of fit to the binomial distribution with $n=3,p=1/3.$ $H_{1}:\,\,$There is no goodness of fit to the binomial distribution

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