Mathematics, 05.05.2020 11:51 nmartin1467
A friend of yours claims to be psychic. You are skeptical. To test this you take a stack of 100 playing cards and have your friend try to identify the suit (hearts, diamonds, clubs, or spades), without looking, of course! The null hypothesis is H_0: p = 1/4 and the alternative hypothesis is H_A: p 1/4, where p is the chance of your friend identifying the correct suit. Your "psychic" friend correctly identified more than 25% of the cards. Consider a result to be surprising if there is less than a 5% chance of observing it given your expectations. Complete parts a and b below. a) A hypothesis test gave a P-value of 0.035. What do you conclude? the null hypothesis. There enough evidence to conclude that your friend's chance of identifying the correct suit is 1/4. b) What would you conclude if the P-value had been 0.217? the null hypothesis. There enough evidence to conclude that your friend's chance of identifying the correct suit is 1/4.
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