Question

In usual notations you are given the following information \delta =0.05,\, \pi_1=0.75,\, \pi_2=0.65,\, \bar{\pi}=0.7,\alpha =0.05,\, \beta =0.20Find the sample size. If power of the test is 95% instead of 80%, then find new sample size.

02 Apr 2024
Answer :
Word Count : 364

To find the sample size, you need to use the formula for sample size calculation in hypothesis testing. The formula for sample size calculation depends on the specific statistical test being used. Since you haven't specified the type of test, I'll assume you're referring to a hypothesis test for comparing two population proportions.

The formula for sample size in this case is:

\[ n = \frac{{(\alpha+\beta) \cdot (\bar{\pi}_1(1-\pi_1) + \bar{\pi}_2(1-\pi_2))}}{{(\pi_1 - \pi_2)^2}} \]

Where:
- \( n \) = sample size per group
- \( \alpha \) = significance __________ _____ _______ ____ ________ _____ _________ _________ _______ ___.
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