The Table Below Shows a Distribution and the Observed Frequencies

Essay

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.

$\begin{array} { l c c c c c } \text { Distribution: } & 0.25 & 0.15 & 0.15 & 0.15 & 0.3 \\ \text { Observed frequencies: } 28 & 13 & 14 & 17 & 28 \\ \text { Significance level = 0.01 } & & & & \end{array}$