15.Which of the following statements about small-sample and large-sample confidence intervals for proportions p are true? I. The large-sample confidence interval formula for proportions is valid if np≥5 and n(1-p)≥5. II. Large-sample confidence intervals always contain the true parameter value, whereas small-sample confidence intervals may not. III. We form small-sample confidence intervals by using the large-sample formula after adding 4 successes and 4 failures.
(A)I only
(B)II only
(C)III only
(D)I and III only
(E)I, II, and III

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