Albert thinks that he has a special relationship with the number 6. In particular, Albert thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pp is the true proportion of the time Albert will roll a 6. (a) State the null and alternative hypotheses for testing Albert'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) H0H0 = HaHa = (b) Now suppose Albert 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 Albert rolls a 6 more often than you'd expect?
Albert thinks that he has a special relationship with the number 6. In particular, Albert thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pp is the true proportion of the time Albert will roll a 6.
(a) State the null and alternative hypotheses for testing Albert'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)
H0H0 =
HaHa =
(b) Now suppose Albert 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 Albert rolls a 6 more often than you'd expect?
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