A professional astrologer has prepared horoscopes of 83 adults. Each adult was shown three horoscopes, one of which was the one the astrologer prepared for them while the other two were randomly chosen from those belonging to the other subjects. Each adult had to guess which of the three horoscopes was theirs. The astrologer claims that the probability of correct prediction (say, p) is higher than that corresponding to mere guessing. Of the 83 subjects, 28 guessed their horoscope correctly.

Suppose you construct a 99% confidence interval of p, the probability of guessing the right horoscope. This interval will contain the null value of p0 = 1/3.

A. True

B. False