HW12 sec8.5 and 8.6: Problem 4 Previous Problem Problem List Next Problem (1 point) 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) HO = HQ = (b) Now suppose Pedro makes n = 50 rolls, and a 3 comes up 11 times out of the 50 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 3 more often than you'd expect? (Type: Yes or No) Note: You can earn partial credit on this