Just before a city referendum on a school budget, a local newspaper polls400voters in an attempt to predict whether the budget will pass. Suppose that, unknown to everyone, the budget actually has the support of56% of the voters.

Question. What is the probability the newspaper's sample will lead the newspaper to predict defeat of the referendum, that is, what is the probability that the newspaper's sample results in a sample proportionpless than 0.50 in favor of the referendum?

(calculate the standard deviation ofpto 4 decimal places, round your final answer to 4 decimal places).