Suppose that in a city in a neighboring state, James takes a simple random sample of 250 people and finds that 170 of the people in the sample view...

Suppose that in a city in a neighboring state, James takes a simple random sample of 250 people and finds that 170 of the people in the sample view the restaurant industry positively in this city. He decides that since this is 5 more people than he expected, the population percentage in his city must be higher than the 66% reported by Gallup. Carl calculates the probability of observing this event to be 0.2522 and decides that the percentage in the city is not too different from the percentage reported by Gallup. Based on statistical theory, who is correct? 

a. Only Carl is correct 

b. Only James is correct 

c. Both Carl and James are correct 

d. Neither Carl nor James are correct.