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Pedro thinks that he has a special relationship with the number 2. In particular, Pedro thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Pedro will roll a 2.

Pedro thinks that he has a special relationship with the number 2. In particular, Pedro thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Pedro will roll a 2.


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

H0 = 

Ha = 

(b) Now suppose Pedro makes n= 38 rolls, and a 2 comes up 8 times out of the 38 rolls. Determine the P-value of the test:

P-value = 


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