A coin toss is used to decide which team gets the ball first in most sports. It involves little effort and is believed to give each side the same chance. In 54 Super Bowl games, the coin toss resulted in 25 heads and 29 tails. However, the National Football Conference has correctly called the coin flip 37 times. Meanwhile, the American Football Conference has correctly called the flip only 17 times. Use the six-step hypothesis-testing procedure at the .01 significance level to test whether these data suggest that the National Football Conference has an advantage in calling the coin flip.

a. State the null and alternate hypotheses.

b. Do the data satisfy the binomial conditions for approximating a normal distribution?

c. What is the decision rule?

d. What is your decision regarding the null hypothesis?

e. What is the p-value and what does it imply?