looking at the specifications you have provided , you can use Cochran's formula for sample size determination

One of the most comonly used formula for sample size determination is the Krejcie and Morgan formula. In fact, you don´t even have to use the formula, a table with the ideal sample size can be found in this link- https://www.research-advisors.com/tools/SampleSize.htm

The Yamane’s sampling formula can also be of help. To me it's simple and easy to go with. When the population of study (N) and the margin of error (e) obtained by knowing your level of confidence, you can get the sample size (n) that truly represent the population. n = N/ 1+ N.e^2

Hello!

If the population is known, then you can use Yamame's formula. However, you can also use the Cochran formula.

Cochran's adjusted formula is there for known/finite population

Bahar - You did not give your sample design or say if you have auxiliary or predictor data, but assuming simple random sampling, which may be inadequate, you also have this comment: you have an "... expected response rate, to account for the sample size." So if you have nonresponse, how will you address it? If you just try to pick more cases without addressing the issue that some categories of the population may have a lower response rate than others, then you could have substantial bias. Dealing with nonresponse may involve one or more covariates. You should explore this area of survey statistics. Best wishes. - Jim