A Market Researcher Is Interested in Determining Whether the Age

question 3

Multiple Choice

A market researcher is interested in determining whether the age of listeners influences their preferred musical styles.The following is a contingency table from a random sample of 385 individuals: $\begin{array}{c}\begin{array}{|l|}\hline\\\hline 18-25 \\\hline 26-35 \\\hline 36-45 \\\hline 46+ \\\hline \end{array}\begin{array}{l}\hline\text { Style } -{1}\\ \hline 125 \\\hline 87 \\\hline 50 \\\hline 12 \\\hline\end{array}\begin{array}{|l|}\hline \text { Style}-2 \\\hline 13 \\\hline 12 \\\hline 22 \\\hline 25 \\\hline \end{array}\begin{array}{l|}\hline\text { Style}-3 \\\hline 6 \\\hline 6 \\\hline 12 \\\hline 15\\\hline\end{array}\end{array}$


The researcher uses $\alpha$ = 0.05.The appropriate decision is ______.

• A)reject the null hypothesis and conclude the two variables are not independent
• B)reject the null hypothesis and conclude the two variables are independent
• C)do not reject the null hypothesis and conclude the two variables are not independent
• D)do not reject the null hypothesis and conclude the two variables are independent
• E)do nothing

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Definitions:

Old Age

The latter part of life, typically considered to start in the late 60s or early 70s, characterized by increased frailty and decreased physical ability.

All-Cause Mortality

The total number of deaths due to any cause in a population within a specified period.

Lung Cancer

A type of cancer that begins in the lungs, often associated with smoking or exposure to harmful substances in the air.

Exercise

Physical activity conducted to improve health or maintain fitness, ranging from walking and running to sports and strength training.