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.
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
ColbsR0218 Staff answered 2 years ago
ColbsR0218 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
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