Answered: Matt thinks that he has a special…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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)

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