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A psychic was tested for ESP. The psychic was presented with 400 cards face down and...

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Statistics

A psychic was tested for ESP. The psychic was presented with 400cards face down and was asked to determine if the card was one offour symbols: a cross, a star, a circle, or a square. The psychicwas correct in 120 of the cases. Let p represent the probabilitythat the psychic correctly identifies the symbol on the card in arandom trial.

A. Using the results above, construct a 99% confidence intervalfor p.

a

(.255, .345)

b

(.262, .338)

c

(.241, .359)

d

(.259, .341)

e

We can assert that p = 0.25 with 100% confidence because thepsychic is just guessing.

B. How large a sample n would you need to estimate p with amargin of error of 0.01 with 95% confidence? (Use the guess 0.25 asthe value of p)

a

N = 447

b

N = 7203

c

N = 9604

d

N = 30

Answer & Explanation Solved by verified expert
4.2 Ratings (652 Votes)
Solution Given thatAPoint estimate sample proportion x n 120 400    See Answer
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