A cinema business owner wants to evaluate if there is a potential difference in interest in three cinema locations based on the previous month’s attendance rate. Cinema 1 has recorded 1,505 people, Cinema 2 has 1,485, and Cinema 3 has 1,510. Perform a goodness-of-fit test.

(a) What are the two hypotheses to consider?

(b) What is the test statistic to use? What is its numerical value?

(c) Assuming a level of significance of 0.05, what is the critical value and what is the p-value to consider?

(d) Draw the rejection rule either for the critical value or the p-value approach (i.e., choose only one approach to display the rejection rule) and state the outcome of the test.