Pedro thinks that he has a special relationship with the number 3. in particular, pedro thinks that he would roll a 3 with a fair 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:

p-value =