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)
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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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