Question 354410: In an ESP experiment, participants are required to predict the color (red or black) of a card drawn randomly from a complete deck. If a participant correctly identifies the color for 38 out of 64 trial, is that person performing significantly better than chance? Test at .05 significance level.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In an ESP experiment, participants are required to predict the color (red or black) of a card drawn randomly from a complete deck. If a participant correctly identifies the color for 38 out of 64 trial, is that person performing significantly better than chance? Test at .05 significance level.
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Ho: p = 1/2
Ha: p is not equal to 1/2
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p-hat = 38/64 = 0.5938
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z(0.5938) = (0.5938-0.5000)/sqrt[0.5*0.5/64] = 1.5
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p-value = 2*P(z>1.5) = 2*0.0668 = 0.1336
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Since the p-value is greater than 5% fail to reject Ho.
The person is not performing significantly better
than chance.
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Cheers,
Stan H.
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