Recently, two students made worldwide headlines by spinning a Belgian euro 250 times and getting 140 heads—that’s 56%. That makes the 90% confidence interval (51%, 61%). What does this mean? Are the conclusions in parts a-e correct? Explain your answers. a) Between 51% and 61% of all euros are unfair.
b) We are 90% sure that in this experiment this euro landed heads between 51% and 61% of the spins.
c) We are 90% sure that spun euros will land heads between 51 % and 61 % of the time.
d) If you spin a euro many times, you can be 90% sure of getting between 51% and 61% heads.
e) 90% of all spun euros will land heads between 51% and 61% of the time.