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
[tex]p=\frac{50}{200}= 0.25[/tex]
using the large sample Z- statistic, we have
[tex]Z=\frac{p- 0.20}{\sqrt{0.2(1-0.2)/200} }[/tex]
  = [tex]\frac{0.25-0.20}{\sqrt{0.16/200}}[/tex]
  = 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