(1 point) 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 ? 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 =
(b) Now suppose Matt makes n = 50 rolls, and a 1 comes up 11
times out of the 50 rolls. Determine the P-value of the test:
(c) Answer the question: Does this sample provide evidence at
the 5 percent level that Matt rolls a 1 more often than you'd
(Type: Yes or No)
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