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Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

5 0

the answer for the first one is...b
just add all of the taxes together and them subtract it from her income

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Explain how to perform a two-sample z-test for the difference between two population proportions.

Sati [7]

Point estimate for the difference between two population proportions is the difference between the two sample proportions, written as:

$\hat{p}_1-\hat{p}_2$

and the standard deviation is given by

$\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}$

When np and n(1-p) is greater than 5, then the sampling distribution is approximately normal and we can use standard normal methods.

Thus, the propability of a test <span>for the difference between two population proportions is given by

$P(X\ \textless \ x)=P\left(z\ \textless \ \frac{\hat{p}_1-\hat{p}_2}{\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}} \right)$ </span>