Based on historical data, your manager believes that $29\%$ of the company's orders come from first$-$time customers. A random sample of $52$ orders will be used to estimate the proportion of first$-$time$-$customers. What is the probability that the sample proportion is less than $0\mathrm{.}3?$

Note: You should carefully round any z$-$values you calculate to $4$ decimal places to match wamap's approach and calculations.

Answer $=$

$($Enter your answer as a number accurate to $4$ decimal places.$)$