Question

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

(a) State the null and alternative hypotheses for testing Matt'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)

(b) Now suppose Matt makes n = 30 rolls, and a 4 comes up 6 times out of the 30 rolls. Determine the P-value of the test:
P-value =

Answer 1