(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 4 comes up 8 times out of the 38 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 Pedro rolls a 4 more often than you'd expect? (Type: Yes or No)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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Pedro thinks that he has a special relationship with the number 4. In particular, Pedro 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 Pedro will roll a 4.

(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 4 comes up 8 times out of the 38 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 Pedro rolls a 4 more often than you'd expect?
(Type: Yes or No) 

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