A Research Company Frequently Monitors Trends in the Use of Social

question 31

Essay

A research company frequently monitors trends in the use of social media by American Adults. The results of one survey of 1846 randomly selected adults looked at social media use versus age group. The table summarizes the survey results.
$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { Age Group }$
$\text { Uses Social Media }\begin{array}{|l|c|c|c|c|r|}\hline & 18-29 & 30-49 & 50-64 & 65+ & \text { Total } \\\hline \text { Yes } & 328 & 417 & 288 & 114 & \mathbf{1 1 4 7} \\\hline \text { No } & 67 & 125 & 265 & 242 & \mathbf{6 9 9} \\\hline \text { Total } & \mathbf{3 9 5} & \mathbf{5 4 2} & \mathbf{5 5 3} & \mathbf{3 5 6} & \mathbf{1 8 4 6} \\\hline\end{array}$
-Do you think social media use is independent of age? Give statistical evidence to support your conclusion.

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Definitions:

Underestimate

To assess something or someone as less in quantity, value, or importance than is actually the case.

Over-precision

The tendency to be too confident in one's own judgments, estimates, or predictions, often leading to errors or miscalculations.

Law Of Small Numbers

Tendency to overstate the probability that a certain event will occur when faced with relatively little information.

Anchoring

A cognitive bias in decision making where an individual relies too heavily on an initial piece of information to make subsequent judgments.