The table below shows a distribution and the observed frequencies of the values of a variable from a simple random sample of a population. Perform a chi-square goodness-of-fit test, at the specified significance level, to decide whether the distribution of the variable differs from the given distribution. $\begin{array}{l} \begin{array} { l c c c c c } \text { Distribution: } & 0.15 & 0.20 & 0.25 & 0.25 & 0.15 \ \text { Observed frequencies: } & 12 & 15 & 16 & 18 & 19 \end{array}\ \text { Significance level } = 0.10 \end{array}$

Question

The table below shows a distribution and the observed frequencies of the values of a variable from a simple random sample of a population. Perform a chi-square goodness-of-fit test, at the specified significance level, to decide whether the distribution of the variable differs from the given distribution. $\begin{array}{l} \begin{array} { l c c c c c }  \text { Distribution: } & 0.15 & 0.20 & 0.25 & 0.25 & 0.15 \ \text { Observed frequencies: } & 12 & 15 & 16 & 18 & 19 \end{array}\ \text { Significance level } = 0.10 \end{array}$

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The Answer of The table below shows a distribution and the observed frequencies of the values of a variable from a simple random sample of a population. Perform a chi-square goodness-of-fit test, at the specified significance level, to decide whether the distribution of the variable differs from the given distribution. $\begin{array}{l} \begin{array} { l c c c c c }  \text { Distribution: } & 0.15 & 0.20 & 0.25 & 0.25 & 0.15 \ \text { Observed frequencies: } & 12 & 15 & 16 & 18 & 19 \end{array}\ \text { Significance level } = 0.10 \end{array}$

The Table Below Shows a Distribution and the Observed Frequencies