From a Poll of 800 Television Viewers, the Following Data

question 78

Essay

From a poll of 800 television viewers, the following data have been accumulated as to their levels of education and their preference of television stations. We are interested in determining if the selection of a TV station is independent of the level of education.
Educational Level

$\begin{array}{rrrrr}&\text { High School } & \text { Bachelor } &\text { Graduate }& \text { TOTAL }\\\text { Public Broadcasting } & 50 & 150 & 80 & 280 \\\text { Commercial Stations } & 150 & 250 & 120 & 520\\\text { TOTAL } & 200 & 400 & 200 & 800\end{array}$
a. State the null and the alternative hypotheses.
b. Show the contingency table of the expected frequencies.
c. Compute the test statistic.
d. The null hypothesis is to be tested at 95% confidence. Determine the critical value for this test.
e. Determine the p-value and perform the test.

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Definitions:

Retinal Disparity

The slight difference in the visual images that reach each eye, leading to the perception of depth and three-dimensional structure.

Interposition

A visual cue for depth perception, where one object partly covers another, indicating the former is closer to the observer.

Relative Luminance

A measure of the amount of light that is emitted, passed through, or reflected from an object, normalized to a scale from zero (perfect black) to one (perfect white).

Eye Surgery

Medical procedures performed on the eye or its adnexa, typically to correct vision or treat disease.