- 1 Hypothesis Testing 20 Points If You Flip The Coin 15 Times And Observed 12 Heads How Likely This Is A Fair Coin 1 (147.28 KiB) Viewed 96 times
1. Hypothesis testing (20 points). If you flip the coin 15 times, and observed 12 heads, how likely this is a fair coin? A loaded coin tends to give head or tail more frequently. We set the p-value to be 0.05. We have the following statistical hypothesis testing HO (null hypothesis): the coin is fair H1 (alternative hypothesis): the coin is loaded (i.e., biased towards head or tail) a. (15 pts) We assume HO is correct, then we can calculate the probability P(at least 12 heads or 12 tails | coin is fair) = (hint: You do not need to calculate the final value. Just write the formula using the binomial PMF function binom.pmf(k, n, p) with actual values). b. (5 pts) If the value is smaller than the p-value 0.05, do you accept or reject HO?