We have provided distribution and the observed frequencies of the values of a variable from a simple random sample of a population. In each case, use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution.

Distribution: 0.5, 0.3, 0.2

Observed frequencies: 45, 39, 16

Significance level = 0.01