Question

The center of the distribution of the sample proportion who survived is 0.08 (given), and the spread is the standard error of the sample proportion. What is the z-score when the sample proportion is 0.07, given that the population proportion is 0.08 and the sample size is 575?

Answer 1

The z-score when the sample proportion is 0.07, given that the population proportion is 0.08 and the sample size is 575, is approximately -0.77858.

Step-by-step explanation:

The z-score can be calculated using the formula: z = (p - P) / sqrt((P * (1 - P)) / n), where p is the sample proportion, P is the population proportion, and n is the sample size. In this case, p = 0.07, P = 0.08, and n = 575. Plugging in these values into the formula, we get:

z = (0.07 - 0.08) / sqrt((0.08 * (1 - 0.08)) / 575) = -0.01 / 0.01285 ≈ -0.77858

Therefore, the z-score when the sample proportion is 0.07 is approximately -0.77858.