A Noted Psychic Was Tested for Extrasensory Perception

question 14

Multiple Choice

A noted psychic was tested for extrasensory perception.The psychic was presented with 200 cards face down and asked to determine if each card were one of five symbols: a star,a cross,a circle,a square,or three wavy lines.The psychic was correct in 50 cases.Let p represent the probability that the psychic correctly identifies the symbol on the card in a random trial.Assume the 200 trials can be treated as a simple random sample from the population of all guesses the psychic would make in his lifetime.Suppose you wished to see if there was evidence that the psychic is doing better than just guessing.To do this,you test the hypotheses H₀: p = 0.20 versus H_a: p > 0.20.What is the value of the large-sample z statistic?

• A)z = 0.83
• B)z = 1.77
• C)z = 1.96
• D)z = 4.17

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Definitions:

REM Sleep

A phase of sleep characterized by rapid eye movements, dreaming, and increased brain activity.

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A naturally occurring substance produced by the pituitary gland that stimulates growth, cell reproduction, and cell regeneration in humans.

Slow-Wave Sleep

The deepest phase of non-REM sleep, characterized by low frequency, high amplitude brain waves, crucial for restorative sleep.

Sleep Deprivation

A condition resulting from insufficient sleep, which can cause a variety of cognitive, physical, and emotional symptoms.