APMA 3120 Chapter Notes - Chapter 10: Confidence Interval, Interval Estimation, Normal Distribution
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Chapter 10: estimating proportions with conidence: since p is unknown, standard deviation is unknown so estimate it by substitution ^p for p standard error of ^p. First note that if c is the area under the standard normal curve between z and +z , then the regions to the left of. Z and to the right of +z each have area. 2 lying to the right under the standard normal curve the multiplier that 2 accompanies the conidence level. 90 is the conidence level c for z = 1. 645. 95 is the conidence level c for z = 1. 960. 98 is the conidence level c for z = 2. 326. 99 is the conidence level c for z = 2. 576: for a given c, the approximate margin of error is z* ^p(1 ^p) n. 90% is the conidence interval for p is ^p 1. 645 s . e . ( ^p)