A coin toss is used to decide which team gets the ball first in most sports. It involves little effort and is believed t

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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 53 Super Bowl games, the coin toss
resulted in 25 heads and 28 tails. However, the National Football
Conference has correctly called the coin flip 36 times. Meanwhile,
the American Football Conference has correctly called the flip only
17 times. Use the six-step hypothesis-testing procedure at the 0.01
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? multiple choice Yes No
c. Make the decision rule. (Negative amounts should be indicated
by a minus sign. Round your answers to 2 decimal places.)
d-1. Evaluate the test statistic. (Round your answer to 2
decimal places.)
d-2. What is the decision regarding the null hypothesis?
e-1. What is the p-value? (Round your answer to 3 decimal
places.)
e-2. What does p-value imply?