Which theory would suggest that watching a horror movie late at night could make you more likely to interpret unfamiliar, faint sounds in your home as threatening as you subsequently tried to fall asleep?

Signal detection theory

Explanation:

Signal detection theory is the concept that defines about ability to distinguish between information contained stimulus and random stimulus pattern that disturbs the focus from information. Distraction can be created through noise-like factors.

According to the question, horror movie can induce random pattern which makes a person interpret about noises or sound while falling asleep because of distractions which does not happen while sleeping normally (without watching horror movie) as information-oriented pattern .Thus, it depicts signal detection theory.      

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