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Chapter 10: Sampling Distributions and the Central Limit Theorem
Table 10-3:
Central Limit Theorem for Sample Proportions
Note that the normality assumption will improve as the sample size
increases.
Since the sampling distribution of the sample proportion
̂
is approximately
normally distributed for large enough sample sizes with
̂
, and
standard deviation
̂
√
, we can compute
-scores for observed
̂
values.
Also, we will be able to compute probabilities associated with these
̂
values. The equation which is used to compute the associated
z
-score is
given next.