(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) ?0 = ?? = (b) Now suppose Pedro makes n = 34 rolls, and a 6 comes up 7 times out of the 34 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 6 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 6. In particular, Pedro thinks that he would roll a 6 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 6.

(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)
?0 =
?? =

(b) Now suppose Pedro makes n = 34 rolls, and a 6 comes up 7 times out of the 34 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 6 more often than you'd expect?
(Type: Yes or No)

 

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