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.

1 Answers

Best Answer

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