Perform the Indicated Goodness-Of-Fit Test Do the Data Provide Sufficient Evidence to Conclude That the Hypotheses

Essay

Perform the indicated goodness-of-fit test. Be sure to state the hypotheses and the significance level, to obtain the criticalvalue, to compute the value of the test statistic, and to state your conclusion.
-You roll a die 48 times with the following results. $$\begin{array} { c | r | r | r | r | r | r } \text { Number } & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text { Frequency } & 3 & 12 & 3 & 3 & 14 & 13 \end{array}$$ Do the data provide sufficient evidence to conclude that the die is loaded (i.e., that the six numbers are not equally likely)? Perform the hypothesis test at the 0.05 level of significance.