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Chapter 10: Sampling Distributions and the Central Limit Theorem

445

Table 10-9:

Central Limit Theorem for the DifferenceBetween

Two Sample Proportions

Since for large enough sample sizes, the sampling distribution of the

differences of the two sample proportions will be approximately normally

distributed with a mean of

̂

̂

=

and a standard deviation of

̂

̂

=

, we can compute z-scores for observed

̂

̂

values.

The equation that is used to compute the associated z-scores is