Brent claims that more students at his school prefer hot dogs over hamburgers. His friend Shaun doesn't agree. To settle their argument they conduct a random survey of 542 males and 635 females. When the survey results come in, hamburgers are chosen by 34.2% of the females and hot dogs are preferred by 184 males. Brent, satisfied with the results, proclaims "Yes, hot dogs it is!" Shaun is dismayed by the results and believes that the results are influenced by surveying too many females. How can Shaun use probabilities to convince Brent that the outcome is influenced by gender?