You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 73%. You would like to be 95% confident that your estimate is within 4% of the true population proportion. How large of a sample size is required

A sample size of 474 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the z-score that has a p-value of .

The margin of error is of:

Based on previous evidence, you believe the population proportion is approximately 73%.

This means that

95% confidence level

So , z is the value of Z that has a p-value of , so .

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.04. So

Rounding up:

A sample size of 474 is required.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4