The Internal Revenue Service (IRS) is attempting to change their image. After an advertising campaign showing how friendly and cooperative IRS auditors are, the commissioner of the IRS claims that half of the population has a favorable opinion of the IRS. A taxpayer who does not believe the claim is in the process of conducting a survey wherein a sample of 200 people will be asked if they have a favourable opinion of the IRS. What is the probability that less than 45% of the sample has a favorable opinion?