Question

ulia thinks that she has a special relationship with the number 3. In particular, Julia thinks that she would roll a 3 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pp is the true proportion of the time Julia will roll a 3.

(a) State the null and alternative hypotheses for testing Julia'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 Julia makes n = 46 rolls, and a 3 comes up 10 times out of the 46 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 Julia rolls a 3 more often than you'd expect?
(Type: Yes or No)

Answer 1

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