Researchers set up an experiment testing extra sensory perception (ESP; psychic ability). In this experiment, there were two cards, a red card (diamonds) and a black card (spades). One person would hold a card so that only they could see it and the person being tested for ESP would then say which card it was while blindfolded in the adjacent room. In this experiment, the probability of successfully naming the card at random (random selection for two categories) is the null hypothesis being tested. Null probability of success = random selection among the two card types. One individual claiming ESP powers successfully identified 3 cards out of 10 ESP trials. Use the binomial test to compare this result with the null probability of success. binom.test(x, n, p = p, alternative = c("two.sided")) What is the p-value of this test? (please report to 3 decimals, example = 0.999)

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Researchers set up an experiment testing extra sensory perception (ESP; psychic
ability). In this experiment, there were two cards, a red card (diamonds) and a black
card (spades). One person would hold a card so that only they could see it and the
person being tested for ESP would then say which card it was while blindfolded in
the adjacent room. In this experiment, the probability of successfully naming the
card at random (random selection for two categories) is the null hypothesis being
tested. Null probability of success = random selection among the two card types.
One individual claiming ESP powers successfully identified 3 cards out of 10 ESP
trials. Use the binomial test to compare this result with the null probability of
success.
binom.test(x, n, p = p, alternative = c("two.sided"))
What is the p-value of this test? (please report to 3 decimals, example = 0.999)
Transcribed Image Text:Researchers set up an experiment testing extra sensory perception (ESP; psychic ability). In this experiment, there were two cards, a red card (diamonds) and a black card (spades). One person would hold a card so that only they could see it and the person being tested for ESP would then say which card it was while blindfolded in the adjacent room. In this experiment, the probability of successfully naming the card at random (random selection for two categories) is the null hypothesis being tested. Null probability of success = random selection among the two card types. One individual claiming ESP powers successfully identified 3 cards out of 10 ESP trials. Use the binomial test to compare this result with the null probability of success. binom.test(x, n, p = p, alternative = c("two.sided")) What is the p-value of this test? (please report to 3 decimals, example = 0.999)
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