Albert thinks that he has a special relationship with the number 6. In particular, Albert thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Albert will roll a 6. (a) State the null and alternative hypotheses for testing Albert'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 = Ho Ha= (b) Now suppose Albert makes n = 38 rolls, and a 6 comes up 8 times out of the 38 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 Albert rolls a 6 more often than you'd expect? (Type: Yes or No) this problem