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erica [24]
3 years ago
5

A noted psychic was tested for extrasensory perception. The psychic was presented with 2 0 0 cards face down and asked to determ

ine 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 5 0 cases. Let p represent the probability that the psychic correctly identifies the symbol on the card in a random trial. Assume the 2 0 0 trials can be treated as a simple random sample from the population of all guesses the psychic would make in his lifetime. What do we know about the value of the P -value for the hypothesis test: Ha: p>0.20 ? ( Note: Use the large-sample z statistic. ) a. P-value < 0.01 0.02 < b. P-value < 0.03 0.03 < c. P-value < 0.04 0.05 < d. P-value < 0.10
Mathematics
1 answer:
Natasha2012 [34]3 years ago
3 0

Answer:

C. P- value < 0.04 0.05

Step-by-step explanation:

hello,

we were given the sample size, n = 200

also the probability that the psychic correctly identifies the symbol on the 200 card is

p=\frac{50}{200}= 0.25

using the large sample Z- statistic, we have

Z=\frac{p- 0.20}{\sqrt{0.2(1-0.2)/200} }

   = \frac{0.25-0.20}{\sqrt{0.16/200}}

    = 1.7678

thus the P - value for the hypothesis test is P(Z > 1.7678) = 0.039.

from the above, we conclude that the P- value < 0.04, 0.05

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