Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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 [tex]$5\%$[/tex] level of significance.

\begin{tabular}{|c|c|c|c|c|}
\hline & \begin{tabular}{c}
[tex]$18-23$[/tex] years \\
old
\end{tabular} & \begin{tabular}{c}
[tex]$24-29$[/tex] years \\
old
\end{tabular} & \begin{tabular}{c}
[tex]$30-35$[/tex] years \\
old
\end{tabular} & Totals \\
\hline Drama & 8 & 15 & 11 & 34 \\
\hline \begin{tabular}{c}
Science \\
Fiction
\end{tabular} & 12 & 10 & 8 & 30 \\
\hline Comedy & 9 & 8 & 12 & 29 \\
\hline Totals & 29 & 33 & 31 & 93 \\
\hline
\end{tabular}

State the Null Hypothesis.

Sagot :

GinnyAnswer
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.
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.