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state your conclusion to the hypothesis test. a sociologist was interes…

Question

state your conclusion to the hypothesis test.
a sociologist was interested in determining if there was a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. a random
sample of 93 adults revealed the following data. use a chi - square independence test to determine if age and type of movie preferred are independent at the 5% level of
significance.
two - way table genre vs age
provided the assumptions of the test are satisfied, state your conclusion to the test.
note: the p - value = 0.4594
cannot be determined.
the data suggests that age and type of movie preferred are not independent.
the data does not suggest that age and type of movie preferred are independent.
the data does not suggest that age and type of movie preferred are dependent.
the data suggests that age and type of movie preferred are dependent.

Explanation:

Step1: State the significance level

The significance level ($\alpha$) is \(0.05\) (5% level).

Step2: Compare p - value and significance level

We are given \(p - value=0.4594\). Since \(p - value = 0.4594>0.05=\alpha\).

Answer:

The data does not suggest that age and type of movie preferred are dependent.