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4. An experiment on ESP (extra-sensory perception) places two individuals, a "sender" and a "receiver" in...

4. An experiment on ESP (extra-sensory perception) places two individuals, a "sender" and a "receiver" in different locations, then has the sender view one of two pictures, either a stormy sky or a sunny sky. This is done 200 times at 20-second intervals. The receiver must identify which picture the sender is seeing. Receivers with no ESP will be correct 50% of the time. a. What is the probability of the sender being correct in 108 of the 200 trials if he does not have ESP? b. Should this receiver offer his services as a someone with ESP? C. What is the Z score?

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Answer #1

a) P(Being correct 108 of 200 trials)

= P(p > 108/200)

= P(p > 0.54)

= P(z .> 1.13)

= 0.1292

b) No, this receiver does not offer his services as someone with ESP because guessing 108 out of 200 trials is not unusual.

c) z score

= 1.13

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