Question

state the null and alternative hypotheses.
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
state the null hypothesis.
$h_0$: age and type of movie preferred are not independent.
$h_a$: age and type of movie preferred are independent.
$h_0$: age and type of movie preferred are independent.
$h_a$: age and type of movie preferred are dependent.
$h_0$: age and type of movie preferred are the same.
$h_a$: age and type of movie preferred are not the same.

Explanation:

Step1: Define null hypothesis

The null hypothesis assumes no relationship.
$$H_0: \text{Age and type of movie preferred are independent}$$

Step2: Define alternative hypothesis

The alternative hypothesis assumes a relationship.
$$H_1: \text{Age and type of movie preferred are not independent}$$

Answer:

$H_0: \text{Age and type of movie preferred are independent}$; $H_1: \text{Age and type of movie preferred are not independent}$