An honest coin is tossed 1600 times, and it lands heads 520 times. The question of interest is are we playing with an honest coin? (1) What statisticwould choose to determine the answer? (2) What is your conclusion? Show how you came to this conclusion? (3) What is your confidence in your conclusion? Elaborate on all your answers. Solution 1) The probability of heads/tails using a fair coin would be (1/2) i.e, a count of 800 heads/tails in 1600 trials would determine that its a honest coin. 2) since the probability of the heads is (520/1600), it is not a honest coin. 3) 100% confident, for more details: http://en.wikipedia.org/wiki/Fair_coin.

1. An honest coin is tossed 1600 times, and it lands heads 520 times. The question of interest is are
we playing with an honest coin?
(1) What statisticwould choose to determine the answer?
(2) What is your conclusion? Show how you came to this conclusion?
(3) What is your confidence in your conclusion?
Elaborate on all your answers.
Solution
1) The probability of heads/tails using a fair coin would be (1/2) i.e, a count of 800
heads/tails in 1600 trials would determine that its a honest coin. 2) since the probability of the
heads is (520/1600), it is not a honest coin. 3) 100% confident, for more details:
http://en.wikipedia.org/wiki/Fair_coin