A Movie Critic Wanted to Determine Whether or Not Moviegoers

question 121

Short Answer

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. $\begin{array} { | c | c | c | c | } \hline & { \text { Movie Ratings } } \\\hline \text { Teenager } & \text { Young Adult } & \text { Middle Age } & \text { Seni or } \\\hline 3 & 2 & 3 & 3 \\\hline 4 & 3 & 2 & 4 \\\hline 3 & 3 & 1 & 4 \\\hline 3 & 2 & 2 & 3 \\\hline 3 & 2 & 2 & 3 \\\hline 4 & 1 & 3 & 4 \\\hline 2 & 3 & 1 & 4 \\\hline 4 & 2 & 4 & 3 \\\hline\end{array}$ Use Excel to find the exact p-value for this test.

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Definitions:

Distributions

The manner in which a phenomenon or characteristic is spread out over an area or volume.

Continent-continent Convergence

A tectonic process involving the collision of two continental plates, typically resulting in the formation of mountain ranges.

Continental Collision

The process by which two continental tectonic plates come together, leading to mountain building and seismic activity.

Transform Fault

A type of fault where two tectonic plates slide past each other horizontally, often associated with significant seismic activity.