Pedro thinks that he has a special relationship with the number 3. In particular, Pedro thinks that he would roll a 3 with a fai
r 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Pedro will roll a 3. (a) State the null and alternative hypotheses for testing Pedro's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "<", ">", "=", "not =" and express any values as a fraction e.g. p = 1/3)
H0 = _______
Ha = _______
(b) Now suppose Pedro makes n = 30 rolls, and a 3 comes up 6 times out of the 30 rolls. Determine the P-value of the test: