2 points) Albert thinks that he has a special relationship with the number 4. In particular, Albert thinks that he would roll a 4 with a fair 6-sided die more often than you’d expect by chance alone. Suppose pp is the true proportion of the time Albert will roll a 4.
(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)
H0H0 =
HaHa =
(b) Now suppose Albert makes n = 38 rolls, and a 4 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 4 more often than you’d expect?
(Type: Yes or No)
