Answer
There is not sufficient evidence to reject the claim of randomness.
Work Step by Step
$n_1$ is the number of dates between January and June among the data, $n_1=20$.
$n_2$ is the number of dates between July and December, $n_2=10$.
The value of $G$ (the test statistic) is the number of repeated values: $G=16$.
The critical value, determined by the table: $G_c=9,20$.
If $G$ is in the rejection region, we reject the null hypothesis. $9\lt16\lt20.$ Thus we fail to reject the null hypothesis
Hence there is not sufficient evidence to reject the claim of randomness.
