Suppose that a level a test based on a test statistic T rejects if T> to. Suppose that g is a monotone increasing function and let S = g(T). Is the test that rejects if S> g(to) a level a test?

Suppose the null hypothesis is true, that the distribution of the test statistic, T say, is continuous with cdfF and that the test rejects for large values of T. Let V denote the p-value of the test.

a Show that V = 1 — F(T).

b Conclude that the null distribution of V is uniform. (Hint: See Proposition C of Section 2.3.)

c If the null hypothesis is true, what is the probability that the p-value is greater than .1?

d Show that the test that rejects if V  has significance level .

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Looking for a Similar Assignment? Our Experts can help. Use the coupon code SAVE30 to get your first order at 30% off!

Hi there! Click one of our representatives below and we will get back to you as soon as possible.

Chat with us on WhatsApp