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Exercise 2. Suppose you found a strange coin which may or may not be fair. Let us work from the starting assumption that
Posted: Mon Nov 15, 2021 9:50 am
by answerhappygod
- Exercise 2 Suppose You Found A Strange Coin Which May Or May Not Be Fair Let Us Work From The Starting Assumption That 1 (139.39 KiB) Viewed 119 times
Exercise 2. Suppose you found a strange coin which may or may not be fair. Let us work from the starting assumption that the coin is fair. Suppose you toss the coin 100 times and observe 22 heads. (a) Under our starting assumption, estimate the probability that the number of heads in 100 tosses is at most 22. (Is there some correction you should be using?) (b) Which situation seems more plausible based on this data: Our starting assumption of a fair coin is correct, and we just got unlucky on this particular sequence of tosses? Or our starting assumption is incorrect? (c) Find a 95% confidence interval for the true probability of heads using this data. Make it clear how you are obtaining the width of the interval (there are two methods you could use here, and you should feel free to use/discuss either one of them or both).