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Armando thinks that he has a special relationship with the number 1. In particular, Armando thinks that he would roll a 1 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Armando will roll a 1. (a) State the null and alternative hypotheses for testing Armando'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 Armando makesn = 30 rolls, and a 1 comes up 6 times out of the 30 rolls. Determine 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 Armando rolls a 1 more often than you'd expect? (Type: Yes or No)

Armando thinks that he has a special relationship with the number 1. In particular, Armando thinks that he would roll a 1 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Armando will roll a 1. (a) State the null and alternative hypotheses for testing Armando'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 Armando makesn = 30 rolls, and a 1 comes up 6 times out of the 30 rolls. Determine 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 Armando rolls a 1 more often than you'd expect? (Type: Yes or No)

Calculus For The Life Sciences
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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Armando thinks that he has a special relationship with the number 1. In particular, Armando thinks that he would roll a 1 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Armando will roll a 1. (a) State the null and alternative hypotheses for testing Armando'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) %D %3D (b) Now suppose Armando makes n = 30 rolls, and a 1 comes up 6 times out of the 30 rolls. Determine 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 = %3D (c) Answer the question: Does this sample provide evidence at the 5 percent level that Armando rolls a 1 more often than you'd expect? (Type: Yes or No)
Transcribed Image Text:Armando thinks that he has a special relationship with the number 1. In particular, Armando thinks that he would roll a 1 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Armando will roll a 1. (a) State the null and alternative hypotheses for testing Armando'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) %D %3D (b) Now suppose Armando makes n = 30 rolls, and a 1 comes up 6 times out of the 30 rolls. Determine 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 = %3D (c) Answer the question: Does this sample provide evidence at the 5 percent level that Armando rolls a 1 more often than you'd expect? (Type: Yes or No)
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