Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.