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can you please help me with this: Suppose I flip a coin 12 times and I see 10 heads and 2 tails. I want to

can you please help me with this:

Suppose I flip a coin 12 times and I see 10 heads and 2 tails. I want to know if it is a fair coin.

  1. Can the Z-test approximation be used in this scenario to test if the coin is fair? Why / why not?
  2. Do the exact test. Is there sufficient evidence to declare that the coin is unfair? Give your decision where you either reject or do not reject the null, as well as the p-value on which that decision was based.
  3. Give an exact 95% CI for the probability of heads, based on these data. Is 0.5 in the CI?
Using R please Thank you

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