Twins Ben and Michael claim that they can communicate telepathically. To test the claim, a researcher plans to put the twins in separate rooms. Five chips of different colors (red, blue, green, yellow, and white) will be placed in a bag. Ben will be blindfolded as he selects a chip at random from the bag. He will then look at the chip and attempt to communicate the color telepathically to his twin Michael, seated in the next room, who will record the color he believes the chip to be. This process will be repeated 50 times. Let p denote the probability that Michael correctly records the color of a chip. State hypotheses for a significance test, letting the alternative hypothesis reflect the possibility that Michael does better than he would by random guessing.

A. H0: p = 1/5Ha: p ≠ 1/5B. H0: p 1/5C. H0: p > 1/5Ha: p = 1/5D. H0: p = 1/5Ha: p > 1/5

Question

Mathematics

Fabian Meyers

29 May, 12:32

Twins Ben and Michael claim that they can communicate telepathically. To test the claim, a researcher plans to put the twins in separate rooms. Five chips of different colors (red, blue, green, yellow, and white) will be placed in a bag. Ben will be blindfolded as he selects a chip at random from the bag. He will then look at the chip and attempt to communicate the color telepathically to his twin Michael, seated in the next room, who will record the color he believes the chip to be. This process will be repeated 50 times. Let p denote the probability that Michael correctly records the color of a chip. State hypotheses for a significance test, letting the alternative hypothesis reflect the possibility that Michael does better than he would by random guessing.

A. H0: p = 1/5Ha: p ≠ 1/5B. H0: p 1/5C. H0: p > 1/5Ha: p = 1/5D. H0: p = 1/5Ha: p > 1/5

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Answers (1)

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German Hubbard · Answer 1

D. H0: p = 1/5Ha: p > 1/5

Step-by-step explanation:

Since alternative is talking about the chances of doing better in one situation over another, then, the equation with the probability of doing better clearly shown by it being greater than the other situation is the right one.