If the relationship between the two populations in the null hypothesis is p1=p2, the two populations can be regarded as the populations with the same numbers p, and their point estimate is ()
Question
If the relationship between the two populations in the null hypothesis is p1=p2, the two populations can be regarded as the populations with the same numbers p, and their point estimate is ()
Solution
The point estimate for the relationship between two populations in the null hypothesis, where p1 = p2, is given by the pooled proportion. The pooled proportion is a way of estimating the common proportion of two groups, assuming that there is no difference between them.
The formula for the pooled proportion (p) is:
p = (X1 + X2) / (n1 + n2)
Where:
- X1 and X2 are the number of successes in each sample
- n1 and n2 are the sizes of the two samples
This pooled proportion can then be used in further statistical tests, such as a two-proportion z-test, to compare the proportions of the two populations and test the null hypothesis.
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