Pedro thinks that he has a special relationship with the number 5. In particular, Pedro thinks that he would roll a 5 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 5. (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) Ho= Ha= (b) Now suppose Pedro makes n = 50 rolls, and a 5 comes up 11 times out of the 50 rolls. Determine the P-value of the test: P-value=

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Pedro thinks that he has a special relationship with the number
5. In particular, Pedro thinks that he would roll a 5 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 5.
(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)
Ho=
Ha=
(b) Now suppose Pedro makes n = 50 rolls, and a 5 comes up
11 times out of the 50 rolls. Determine the P-value of the test:
P-value =
Transcribed Image Text:Pedro thinks that he has a special relationship with the number 5. In particular, Pedro thinks that he would roll a 5 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 5. (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) Ho= Ha= (b) Now suppose Pedro makes n = 50 rolls, and a 5 comes up 11 times out of the 50 rolls. Determine the P-value of the test: P-value =
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