Pedro thinks that he has a special relationship with the number 4. In particular, Pedro thinks that he would roll a 4 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 4.

(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)
$H_0$ =
$H_a$ =

(b) Now suppose Pedro makes n = 34 rolls, and a 4 comes up 7 times out of the 34 rolls. Determine the P-value of the test:
P-value =

(c) Answer the question: Does this sample provide evidence at the 5 percent level that Pedro rolls a 4 more often than you'd expect?
(Type: Yes or No)