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A researcher is interested in whether people have psychic abilities (ESP). He conducts an ESP experiment...

A researcher is interested in whether people have psychic abilities (ESP). He conducts an ESP experiment in which a person guesses which of 4 cards on a table the researcher has randomly selected in his mind. This process of guessing which of the 4 cards the researcher has randomly picked is repeated for 200 trials. If the person is just guessing, that is, they do not have ESP then they will guess the correct card about 25% of the time. If a person had ESP they should pick the correct card more often. The null hypothesis is that the person is guessing at random, while the alternative hypothesis is that the person has ESP. The significance level is 0.05.

(a)What are the null and alternative hypotheses, using mathematical symbols?

(b)One person who was tested for ESP guessed the correct card 69 times. Calculate the P-value corresponding to this sample data.

(c)What is the conclusion of this hypothesis test?

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