Matt thinks that he has a special relationship with the number 1. In particular, Matt thinks that he would roll a 1 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is...

Matt thinks that he has a special relationship with the number 1. In particular, Matt thinks that he
would roll a 1 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true
proportion of the time Matt will roll a 1.
(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)
H
H.
(b) Now suppose Matt makes n = 46 rolls, and a 1 comes up 10 times out of the 46 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 Matt rolls a 1 more
often than you'd expect?
(Type: Yes or No)