Question

find the expected count under the null hypothesis.
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, find the expected number of 24 - 29 year - olds who prefer comedies under the null hypothesis.
multiple choice 4 points
8
11.56
10.29
7.34

Explanation:

Step1: <Formula for expected count>

The formula for the expected count \(E_{ij}=\frac{\text{Row Total}\times\text{Column Total}}{\text{Grand Total}}\)

For the row of \(24 - 29\) years - olds (row total \(=33\)) and the column of Comedy (column total \(=29\)) and grand total \(N = 93\)

Step2: <Calculate expected count>

Substitute into the formula: \(E=\frac{33\times29}{93}\)

First, calculate \(33\times29 = 957\)

Then, \(E=\frac{957}{93}=10.29\)

Answer:

\(10.29\)