A researcher rolled a particular 6-sided die a total of 8000 times.A "6" was observed on 1389 out of the 8000 rolls.Does this data provide sufficient evidence that the proportion of time that a "6" is rolled is greater than 1/6?Assume = .05; show work.

a.What are the null hypothesis H₀and the alternative hypothesis H_a.(2 points)

b.Identify the rejection region. (3 points)

c.Compute the test statistic (2 points)

d.State your conclusion, using = .05. (2 points)

e.What is the p-value of the test statistic? (3 points)