A psychic claims to be able to predict the outcome of coin flipsbefore they happen. Someone who guesses randomly will predict abouthalf of coin flips correctly. In 100 flips, the psychic correctlypredicts 57 flips. Do the results of this test indicate that thepsychic does better than random guessing? The hypotheses areHo:p=0.50 Ha:p>50 where p is the proportion of correct coin flippredictions by the psychic.

1. Give the test statistic for this problem.

Group of answer choices

a.Z = 1.40

b.Z = -9.43

c.Z = -1.40

2. What is the P value

a P-value = 0.2843

b P-value = 0.919

c P-value = 0.081

d P-value = 0.162

3. Give the conclusion based on the P-value above. Use a 5%level of significance.

a. Someone who guesses randomly will predict about half of coinflips correctly (about 50 out of 100). In 100 flips, the psychiccorrectly predicts 57 flips, a 14% increase. Therefore we canconclude that the psychic's predictions are not due to randomchance.

b The psychic correctly predicted 57% of the coin flips (57 outof 100). A person who guesses randomly will correctly predict about50% (half) of the 100 coin flips. So the psychic's predictions aresignificantly better.

c The psychic’s prediction of the outcomes of coin flips is notsignificantly better than we would expect with random guessing.