If $\mathrm { P } ( \mathrm { A } ) = 0.25 , \mathrm { P } ( \mathrm { B } ) = 0.8$

question 62

Essay

If $\mathrm { P } ( \mathrm { A } ) = 0.25 , \mathrm { P } ( \mathrm { B } ) = 0.8$ , and $\mathrm { P } ( \mathrm { A } \& \mathrm {~B} ) = 0.23$ , are $\mathrm { A }$ and $\mathrm { B }$ independent events? How can you tell?

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Definitions:

Control Group

A control group is a baseline group in an experiment that does not receive the experimental treatment, allowing researchers to measure the effect of the treatment by comparing it to this group.

Self-Fulfilling Prophecy

A belief or expectation that an individual holds about a future event that manifests because the individual holds it.

Subject Bias

The tendency for study participants to respond or behave in a certain way because they are aware they are being observed or evaluated.

Covert Sensitization

A cognitive-behavioral technique involving the use of unpleasant imagery to reduce the occurrence of unwanted behaviors.