Valeria thinks that she has a special relationship with the number 5. In particular, Valeria thinks that she would roll a 5 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pis the true proportion of the time Valena will roll a 5. (a) State the null and altemative hypotheses for testing Valeria's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "<", ">", "=", "not =" and express any values as a fraction eg p= 1/3) Ho = H = (b) Now suppose Valeria makes n= 46 rolls, and a 5 comes up 10 times out of the 46 rolls. Detemine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when finding the P-value P-value = (C) Answer the question. Does this sample provide evidence at the 5 percent level that Valeria rolls a 5 more often than you'd expect? (Type: Yes or No)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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Valeria thinks that she has a special relationship with the number 5. In particular, Valeria thinks that she 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 Valeria will roll a 5.
(a) State the null and alternative hypotheses for testing Valeria'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 Valeria makes n = 46 rolls, and a 5 comes up 10 times out of the 46 rolls. Determine the P-value
the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test
statistic when finding the P-value.
P-value =
(C) Answer the question: Does this sample provide evidence at the 5 percent level that Valeria rolls a 5 more often than you'd expect?
(Type: Yes or No)
Transcribed Image Text:Valeria thinks that she has a special relationship with the number 5. In particular, Valeria thinks that she 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 Valeria will roll a 5. (a) State the null and alternative hypotheses for testing Valeria'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 Valeria makes n = 46 rolls, and a 5 comes up 10 times out of the 46 rolls. Determine the P-value the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when finding the P-value. P-value = (C) Answer the question: Does this sample provide evidence at the 5 percent level that Valeria rolls a 5 more often than you'd expect? (Type: Yes or No)
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