You are told that a coin approximately has a probability of 0.25 of landing

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2 years ago

You are told that a coin approximately has a probability of 0.25 of landing on heads if the probability that it lands on heads is between 0.23 and 0.27. You toss a coin 100,000 times and it lands on heads 30,000 times. Find a lower bound on the probability that the probability is not approximately 0.25 that the coin land on heads.

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dyhiamonhawkins Staff answered 2 years ago

Step 1 coin approximately has probability of 0.25 of landing on heads if the probability it lands on heads is between 0.23 and 0.27 In 100,000 tosses, 30,000 are heads Step 2 population proportion = 0.25 sample proportion = 30,000/100,000 = 0,3 the probability of landing on heads from sample =0.3 Since this probability is not between 0.23 and 0.27, coin does not approximately have probability of 0.25 of landing on heads ie probability is 0 This means that the lower bound on the probability that the probability is not approximately 0.25 is 0

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