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# Number of new cases per month for some common infection at some hospital considered to have binomial distribution B(n,p), where n is total number of patients who have been investigated for the...

Number of new cases per month for some common infection at some hospital considered to have binomial distribution B(n,p), where n is total number of patients who have been investigated for the presence of that infection. In some recent month 100 patients were investigated and prove to be positive 55 of them. The rate 0.4 was considered as acceptable background level of infection a. Design approximate Rejection region at the level a 2.5% for the test of hypotheses : Ho p 0.4 against alternative H : p10.4 b. Find power of the test at the point pi0.55 c. Find p-value of the result of experiment at that month. d. Design example of separation of hypotheses Ho:p= 0.4 against alternative Hi p = 0.6 with a-2.5% y >97.5%.

## Solution

Monali answered on Dec 04 2021
a. Construction of Region
. Power of test
c. P- value at that month: P-value also means probability
d. Designing separation of hypothesis:
We are given null hypothesis Ho= 0.4. This means that, we suspect that rate of acceptable background level of infection is 0.4. As per this information,...
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