Say you flip a coin 10 times and observe only one head. What would be your null hypothesis and p-value for testing whether the coin is fair or not?
Question: Say you flip a coin 10 times and observe only one head. What would be your null hypothesis and p-value for testing whether the coin is fair or not?
Since the sample size is small, we compute the p-value directly via the binomial distribution. There are 10 ways to get exactly one head in 10 flips out of (2^10 = 1024) total combinations. Thus: