Refer to Applied Example 9.14.

a. Find the probability that 139 or more heads result when a balanced coin is tossed fairly 250 times.

b. Find the probability that 110 or fewer heads result when a balanced coin is tossed fairly 250 times.

c. Find the probability that the results of fairly tossing a balanced coin 250 times is as extreme as the 139 heads.

d. What is Romain Coenen’s claim? What is it that Barry Blight says is “suspicious”? How do these two statements form the opposing sides of a hypothesis test? State the null and alternative hypotheses.

e. Barry Blight’s statement, “If the coin were unbiased the chance of getting a result as extreme as that would be less than 7%,” is a statement of a p-value for a two-tailed hypothesis test.

Explain why.

f. If the sample results had been used to estimate the probability that the euro coin lands heads up, what would have been the confidence interval?

g. If the media had reported these results as 56%

with a 6% margin of error, how would this be similar to and different than a national opinion poll that resulted in 56%  6%?