STAT1008 Chapter Notes - Chapter 6: Central Limit Theorem, Standardized Test, Statistical Hypothesis Testing
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Chapter 6: distribution of a sample proportion. When doing inference, we don"t have p. the solution is to substitute p for p. A normal distribution can be used to approximate the distribution of p as long as np 10 and n(1-p) 10. A normal distribution is a good approximation as long as np 10 and n(1-p) 10. The mean is equal to the population proportion, p. Me = z * p(1 p) / n. You can choose your sample size in advance, depending on your desired margin of error. n = ( z* / me ) 2 x p (1- p ) Neither p nor p is known in advance. For a 95% con dence interval, z* = 1. 960 n (1 /me) 2. If np 10 and n( 1- p0) 10, then the p-value can be computed as the area in the tails of a standard normal beyond z.
