Question

1. A die is rolled 300 times; it lands five 58 times. Is this evidence significant enough to conclude that the die is not fairly balanced?

a) State the Null and Alternative hypothesis.

b) Draw the picture to state the rejection region for a significance level of 0.05.

c) Find the Test statistic value z.

d) Find the critical z-value.

e) Decide whether H_0 (null hypothesis) should be rejected, and state this conclusion in the problem context.

2. Continuing the previous die problem, suppose that the true chance of landing five is 0.25. Draw the picture to state the region of β, which is the probability of making the Type II error.

Answer 1