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describe the sampling distribution if p female-p male

describe the sampling distribution if p female-p male

Math   Statistics-And-Probability   
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Answer #1

This is a case of distribution of the difference of 2 sample proportions. This is given by a standard normal distribution given as:

Where is the sample proportion of the required parameter for females,

is the sample proportion of the required parameter for males,

n1 is the sample size for females,

n2 is the sample size for males.

And P is the pooled proportion computed as:

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