The sampling distribution of $\bar { p } _ { 1 }$

Question

The sampling distribution of $\bar { p } _ { 1 }$ - $\bar { p } _ { 2 }$ is approximated by a A) normal distribution. B) t distribution with n₁ + n₂ degrees of freedom. C) t distribution with n₁ + n₂ - 1 degrees of freedom. D) $\bar { p } _ { 1 }$ - $\bar { p } _ { 2 }$ distribution.

Quizplus · Accepted Answer

The sampling distribution of the difference between two sample proportions, $\bar { p } _ { 1 }$ - $\bar { p } _ { 2 }$, is approximated by a normal distribution when the sample sizes are large enough, according to the Central Limit Theorem.

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