After calculating the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum allowable error (e) must be reduced to just 0.025. if the original calculation led to a sample size of 1000, the sample size will now have to be

 40000

Step-by-step explanation:

The formula to find the sample size is given by :-

, where p is the prior estimate of the population proportion.

Here we can see that the sample size is inversely proportion withe square of margin of error.

i.e.

By the equation inverse variation, we have

Given :  

Then, we have

Hence, the sample size will now have to be 4000.

47 - 90 = 43

43 - 180 = x

x = 137

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step-by-step explanation:

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