An unethical experimenter desires to test the following hypotheses: H0: = 0, H1: = 0.

An unethical experimenter desires to test the following hypotheses:
H0: θ = θ0,
H1: θ = θ0.
She draws a random sample X1, . . . , Xn from a distribution with the p.d.f. f (x|θ), and carries out a test of size α. If this test does not reject H0, she discards the sample, draws a new independent random sample of n observations, and repeats the test based on the new sample. She continues drawing new independent samples in this way until she obtains a sample for which H0 is rejected.
a. What is the overall size of this testing procedure?
b. If H0 is true, what is the expected number of samples that the experimenter will have to draw until she rejects H0?