Suppose the coin 0 has 0.5 chance for head, and the coin 1 has 0.7 chance for head. We toss the coins untial a head comes up, and record the total number of tosses, X. The null hypothesis(H0) is that...

Suppose the coin 0 has 0.5 chance for head, and the coin 1 has 0.7 chance for head. We toss the coins untial a head comes up, and record the total number of tosses, X. The null hypothesis(H0) is that we tossed coin0. The alternative hypothesis(H1) is that we tossed coin1.

a. If the prior probabilities are equal, which outcomes favor H0?

b. Suppose P(H0)/P(H1) = 10. What outcomes favor H0?

c. What is the significance level of a test that rejects H0 if X is equal or greater than 8?