Many studies have investigated the question of whether people tend to think of an odd number when asked to think of a single-digit number (0 through 9; 0 is considered an even number). When 70 students were asked to pick a number between 0 and 9, 42 students chose an odd number. Let the parameter of interest, it, represent the probability that a student will choose an odd number. Are conditions met to use theory-based methods for conducting a 95% confidence interval?

a) No, since the sample size is too small.
b) Yes, since the number of students who chose an odd number and the number of students who chose an even number are both greater than 10.
c) Yes, because there were two possible outcomes.
d) Yes, since the number of students is larger than 30.