Certainly! Let's outline the null and alternative hypotheses for the Chi-Square test of independence:
### Null Hypothesis ( [tex]\( H_0 \)[/tex] )
The null hypothesis states that there is no relationship between the age of a young adult and the type of movie preferred. In other words, age and movie preference are independent.
### Alternative Hypothesis ( [tex]\( H_1 \)[/tex] )
The alternative hypothesis states that there is a relationship between the age of a young adult and the type of movie preferred. In other words, age and movie preference are not independent.
Mathematically, these can be expressed as:
- Null Hypothesis ([tex]\( H_0 \)[/tex]): Age of a young adult and type of movie preferred are independent.
- Alternative Hypothesis ([tex]\( H_1 \)[/tex]): Age of a young adult and type of movie preferred are not independent.