st: Calculating pooled estimates using random-effects logistic regression

["q017mm@gmail.com " <q017mm@gmail.com>]

I want to calculate pooled estimates of 1-year survival rates from
several studies using random-effects logistic regression analysis
(sample weighting should be applied according to the sample size).
What is the most appropriate way to perform this analysis with Stata?
Can you give me an example on the appropriate command using the data
below?

Study   No. of patients     1-year survival rate (%)
#1                46                  40
#2                21                  31
#3                36                  47
#4                25                  33
#5                11                  27
#6                16                  39
#7                46                  37
#8                29                  22
#9                62                  30
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