More Hypothesis Testing You haw a coin that you suspect is b

More Hypothesis Testing You haw a coin that you suspect is biased toward coming up heads. You let p he the probability that the coin will give heads on any one flip. Explain why. if you flip the coin three\' times, then no matter how the three flips turn out, you will NOT have enough evidence to reject the null hypothesis \"p=1/2 in favor of the alternative hypothesis \"p>1/2significance level n 0.05. What is the smallest number * f illicit you need to flip the coin so that having all of thaw flips turn out to be ls is enough evidence to reject I he null hypothesis \"p>1/2\" in favor of the alternative hypothesis \"p>1/2\" at significance level Alpha = 0.05?

Solution

a)

because p = 1/2 is the best estimator for \"p\" and also because if you flip a coin no matter how many flips yurn out

you will always have the same probability

b)

the smallest number of times you need is only 1 because with 1 you can do a test for this problem