Posted by **Rhea** on Sunday, September 19, 2010 at 1:25am.

You are shown a coin that its owner says is fair in the sense that it will produce the same number of heads and tails when flipped a very large number of times.

Suppose you decide to flip a coin 100 times.

a. What conclusion would you be likely to draw if you observed 95 heads?

b. What conclusion would you be likely to draw if you observed 55 heads?

- Statistics -
**David**, Sunday, September 19, 2010 at 9:11am
a - either you've just seen something that's phenomenally unlikely, or the coin's owner isn't being truthful about the fairness of the coin.

b - you've just seen something that's consistent with the coin's owner's pronouncement that the coin is fair. (Not that that means it definitely IS fair: it's just that you don't have enough evidence to conclude that it isn't.)

I suspect you're about to be introduced to the concept of the so-called "null hypothesis", which in this instance is that the coin is fair, i.e. that heads and tails are equally likely to occur. When you do an experiment, either you get a result which is consistent with your null hypothesis, or you get a result which is so unlikely if the nullhypothesis is true that you're forced to throw the null hypothesis away. Your two questions are examples of that process.

- Statistics -
**Rhea**, Sunday, September 19, 2010 at 12:38pm
Thanks so much for the reply!

## Answer this Question

## Related Questions

- Statistics - Suppose Tori has an unfair coin which lands on Tails with ...
- probability - You flip a fair coin (i.e., the probability of obtaining Heads is ...
- statistics - air coin is flipped 20 times. a. Determine the probability that the...
- Math Statistics - 3. Suppose 20% of all heart transplant patients do not survive...
- stor - Suppose that you flip a fair coin (P(H)=P(T)=1 2 ) three times and you ...
- probability - Suppose an unfair coin comes up heads 52.2% of the time if it is ...
- Math - Would you be more likely to get at least 70% tails if you flip a fair ...
- Probability - Suppose that an unfair coin comes up heads 54.1% of the time. The...
- Statistics - A loaded coin is tossed 5 times, find the probability distribution ...
- maths - Suppose there are 10 coins laid out in front of you. All of the coins ...