A Movie Critic Wanted to Determine Whether or Not Moviegoers

question 123

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 the most recently watched movies. The rating categories were: 1 = terrible, 2 = fair, 3 = good, and 4 = excellent. Each respondent was also asked to categorize his or her age as either: 1 = teenager, 2 = young adult (20-34), 3 = middle age (35-50), and 4 = senior (over 50). The results are shown below. Do these data provide sufficient evidence to infer at the 5% significance level that there were differences in ratings among the different age categories?
Test statistic:
H = ______________
What is the critical value for the test statistic?
Reject if the test statistic > ______________.
Conclude: ______________
There ______________ sufficient evidence to infer at the 5% significance level that there were differences in ratings among the different age categories.
What statement can be made about the p-value for this test?
______________

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Definitions:

Standard Normal Variable

A random variable that follows a normal distribution with a mean of zero and a standard deviation of one.

Z-score

A measure of how many standard deviations an element is from the mean of its distribution.

Standard Normal Curve

A specific instance of a normally distributed curve where the mean is 0 and the standard deviation is 1.

Percentile

A statistical measure indicating the value below which a given percentage of observations in a group of observations fall.