Using the Taro Yamane formula with a population of 1,771,094 and a level of precision of 0.05, calculate the sample size n.

The Taro Yamane formula for sample size ($n$) for finite populations is:

$$n = \frac{N}{1 + N(e^2)}$$

Where:
$N$ = Population size
$e$ = Level of precision

Given values from the problem:
$N = 1,771,094$
$e = 0.05$

Substitute $N = 1,771,094$ and $e = 0.05$ into the formula:

$$n = \frac{1,771,094}{1 + 1,771,094(0.05^2)}$$

$$e^2 = (0.05)^2 = 0.0025$$

Substitute this back into the equation:

$$n = \frac{1,771,094}{1 + 1,771,094(0.0025)}$$

$$1,771,094 \times 0.0025 = 4427.735$$

Substitute this back into the equation:

$$n = \frac{1,771,094}{1 + 4427.735}$$

$$1 + 4427.735 = 4428.735$$

Substitute this back into the equation:

$$n = \frac{1,771,094}{4428.735}$$

Since the sample size must be a whole number, round 399.9099 to the nearest integer.

$$n \approx 400$$

The calculations shown in the image are correct.
The final calculated sample size is $\text{400}$.