Unknown to an experimenter tossing a coin, when a certain unfair coin is tossed, the probability of obtaining a head is p = 0.66. The
Unknown to an experimenter tossing a coin, when a certain unfair coin is tossed, the probability of obtaining a head is p = 0.66. The experimenter tosses the coin 150 times in order to estimate p, the proportion of heads. What is the probability that the experimenter's point estimate of p will be within the interval (0.61, 0.71), inclusively? (If necessary, use the sampling distribution of the sample proportion, NOT the normal approximation to binomial.) (a) What are the expected number of successes and failures? (Round your answers to 3 decimal places, if needed.) Expected successes: Expected failures: (b) What is the probability that the experimenter's point estimate of p will be within the interval (0.61, 0.71), inclusively? (Round your answers to 4 decimal places, if needed.)
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