We observe 32 Successes in the random sample of size 50 from population in which unknown probability of Success is ?.
(a) Determine the traditional Wald and Agresti-Coull 95% confidence intervals for ? based on these data.
(b) In testing H0: ? = ?0 against ? ? ?0, the smallest value of ?0 that leads to accepting H0 (for these data) is 0.5015, and the largest is 0.7586. What does this tell you about the Wilson CI? Explain briefly.
(c) Which of the three intervals in parts (a) and (b) are centered at 0.64 and which are not? If not, what is the center?