Question

Use the information and table to answer the following questions.

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.
18-23 years old 24-29 years old 30-35 years old Totals
Drama 8 15 11 34
Science Fiction 12 10 8 30
Comedy 9 8 12 29
Totals 29 33 31 93
1. State the Null Hypothesis
A) Age and type of movie preferred are not independent.
B) Age and type of movie preferred are independent
C) Age and type of movie preferred are not the same
D) Age and type of movie preferred are related.
E) Cannot be determined.
2. State the alternative hypothesis.
A). Age and type of movie preferred are dependent.
B) Age and type of movie preferred are independent.
C) Age and type of movie preferred are not related
D) Age and type of movie preferred are superior.
E) Cannot be determined.

Answer 1

1. B) Age and type of movie preferred are independent

2.A). Age and type of movie preferred are dependent.

Explanation:

1. State the Null Hypothesis

B) Age and type of movie preferred are independent

2. State the alternative hypothesis.

A). Age and type of movie preferred are dependent.

This is chi square independence test therefore we will test the independence of the two factors age and the type of movie preferred.

The null hypothesis is formulated as

Age and type of movie preferred are independent

against the claim

Age and type of movie preferred are dependent.