Final answer:
Using a standard normal distribution table or calculator, the probability is approximately 0.5307 (rounded to 4 decimal places).
Step-by-step explanation:
To answer this question, we can use the formula for the standard error of the sample proportion:
SE(p) = sqrt((p * (1 - p)) / n) { where p is the population proportion and n is the sample size.
In this case, the population proportion is 0.05 and the sample size is 299.
Calculating the standard error:
SE(p) = sqrt((0.05 * (1 - 0.05)) / 299)
= 0.0146 (rounded to 4 decimal places)
Next, we can calculate the z-score for the given sample proportion of 0.06:
z = (0.06 - 0.05) / 0.0146
= 0.0685
Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score.
The probability is approximately 0.5307 (rounded to 4 decimal places).