A Movie Critic Wanted to Determine Whether or Not Moviegoers

question 128

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. $\begin{array} { | c | c | c | c | } \hline & { \text { Movie Ratings } } \\\hline \text { Teenager } & \text { Young Adult } & \text { Middle Age } & \text { Seni or } \\\hline 3 & 2 & 3 & 3 \\\hline 4 & 3 & 2 & 4 \\\hline 3 & 3 & 1 & 4 \\\hline 3 & 2 & 2 & 3 \\\hline 3 & 2 & 2 & 3 \\\hline 4 & 1 & 3 & 4 \\\hline 2 & 3 & 1 & 4 \\\hline 4 & 2 & 4 & 3 \\\hline\end{array}$ Using the appropriate statistical table, what statement can be made about the p-value for the test?

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Definitions:

Weighted Average

A calculation that takes into account the varying degrees of importance of the numbers in a data set.

Expected Utility

The expected value of an individual’s total utility given uncertainty about future outcomes.

Repairs

Activities or processes aimed at restoring a damaged, broken, or malfunctioning object to its original or operating condition.

Risk-Averse

Risk-averse describes individuals or entities that prefer to avoid risk and would rather choose a certain outcome over a gamble with potentially higher, but uncertain, rewards.