Question

Below is example 8.9 and H2 but you dont need to solve it. You just need to solve H3.

H3. This is a continuation of Example 8.9. The assumptions are the same but with the last two sentences deleted. Particularly, there is no prior information about p; the experimenter does not expect p to be close to 0.6. How many people must be included in the experiment such that a Confidence Interval for p can be obtained with length 0.05 with confidence at least 0.8? (a) Use the result of H2 to compute the answer (b) Use the fact that the quantity p(1 -p) achieves its maximum at p = 1/2 to compute the answer. (c) Compare the answers in (a) and (b) and conclude which one is better EXAMPLE 8.9 The reaction of an individual to a stimulus in a psychological experiment may take one of two forms, A or B. If an experimenter wishes to estimate the probability p that a person will react in manner A, how many people must be included in the experiment? Assume that the experimenter will be satisfied if the error of estimation is less than 04 with probability equal to.90. Assume also that he expects p to lie somewhere in the neighborhood of .6. H2. Show that for arbitrary real numbers a and b we have ab

Answer 1

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