8. [10] Archeologists find an ancient and do not known whether or not the coin is fair (i.e., whether or not the probability of a toss turning up heads in 0.50).Let p be the true probability of a toss turning up heads. The coin is tossed 8 times and comes up heads exactly 7 times.

(i) Determine the likelihood function L(p) for the recorded data.

(ii) Is p=0.7 in the 95% confidence interval?