College poll of 1004 adults, 291 chose professional athlete as their dream job. Assume that 25% of adults consider being a professional athlete their dream job.
a. The result of 291 is more than 25% of 1004, so find the probability that among 1004 random adults, 291 or more consider being a professional athlete their dream job.
b. If the value of 25% is correct, is the result of 291 unusually high?
c. Does the result suggest that the rate is greater than 25%?