A Movie Critic Wanted to Determine Whether or Not Moviegoers $\quad$

question 75

Essay

A movie critic wanted to determine whether or not moviegoers of different age groups evaluated a movie differently. With this objective, he commissioned a survey that asked people their ratings of their most recently watched movies. The rating categories were:
1 = terrible.
2 = fair.
3 = good.
4 = excellent.
Each respondent was also asked to categorise his or her age as either:
1 = teenager.
2 = young adult (20-34).
3 = middle age (35-50).
4 = senior (over 50).
The results are shown below. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text { Movie Ratings }$
$\begin{array}{|c|c|c|c|}\hline \text { Teenager } & \text { Young Adult } & \text { Middle Age } & \text { Senior } \\\hline 3 & 2 & 3 & 3 \\\hline 4 & 3 & 2 & 4 \\\hline 3 & 3 & 1 & 4 \\\hline 3 & 2 & 2 & 3 \\\hline 3 & 2 & 2 & 3 \\\hline 4 & 1 & 3 & 4 \\\hline 2 & 3 & 1 & 4 \\\hline 4 & 2 & 4 & 3 \\\hline\end{array}$
Do these data provide sufficient evidence to infer at the 5% significance level that there were differences in ratings among the different age categories?

---

Definitions:

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a given price in a specific period.

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a given price over a specified period.

Commodity

A basic good used in commerce that is interchangeable with other goods of the same type.

Grain Surplus

An excess amount of grain production over the demand, leading to stored or wasted grain.