Suppose that we are testing a coin to see if it is fair, so our hypotheses are H0: p = 0.5 vs Ha: p 0.5. In each of (a) and (b) below, use the "Edit Data" option on StatKey to give the p-value for the sample results and give a conclusion to the test in the context of the problem. Use alpha = 0.05.

a. [1 pt] We get 56 heads out of 100 tosses.

b. [1 pt] We get 560 heads out of 1000 tosses.

c. [1 pt] Look at the sample proportions in parts (a) and (b) and compare the p-values. Why are the p-values so different?