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Chapter 10: Sampling Distributions and the Central Limit Theorem

443

Table 10-7:

Some Summary Information for the Simulation on

the Difference Between two Sample Proportions

Observe that

̂

̂

and

̂

̂

. Again,

if we perform a larger number of these simulations and take averages we

should expect that these values will be close, if not equal, to each other in

the long run. Also, if we assume different sample sizes and different

population proportions, we will observe similar results. The main purpose

of this illustration was to help in understanding the stated properties given in

Table 10-8.