please provide some explanation with the taken steps, thank you in advance. Someone claims to have telepathic gifts in the sense that if you randomly draw one card from a set with as many red as black cards, he has probability 0.6 of naming the correct color. To test this claim, we proceed as follows: we let him guess 25 consecutive times, where the drawn card is put back every time. If he guesses correctly at least 17 times, we believe him; otherwise, we do not. (i) Formulate this problem in terms of null hypothesis, test statistic, alternative hypothesis, critical region. (ii)  Determine the significance of the test. (iii) Determine the power function in p = 0.6.

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 please provide some explanation with the taken steps, thank you in advance.

Someone claims to have telepathic gifts in the sense that if you randomly draw one card from a
set with as many red as black cards, he has probability 0.6 of naming the correct color. To test this claim, we proceed as follows: we let him guess
25 consecutive times, where the drawn card is put back every time. If he guesses correctly at least
17 times, we believe him; otherwise, we do not.
(i) Formulate this problem in terms of null hypothesis, test statistic, alternative hypothesis, critical region.
(ii)  Determine the significance of the test.
(iii) Determine the power function in p = 0.6.

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