When a fair coin is flipped, we all know that the probability the coin lands on heads is 0.50. However, what if a coin is spun? According to the article “Euro Coin Accused of Unfair Flipping” in the New Scientist, two Polish math professors and their students spun a Belgian euro coin 250 times. It landed heads 140 times. One of the professors concluded that the coin was minted asymmetrically. A representative from the Belgian mint indicated the result was just chance. Assume that the conditions for inference are met.

a. State appropriate hypotheses for testing these competing claims about the true proportion of spins that will land on heads.

b. Calculate the standardized test statistic and P-value.

c. Interpret the P-value. What conclusion would you make?