What potential errors exist in the following and what would the null hypotheses and the alternate hypotheses look like?
In the biggest study of its kind to date, researchers at the University of Illinois-Champaign found that birth order has no statistically significant impact on personality. The analysis, published in the Journal of Research in Personality, looked at 377,000 high school students and found that first-borns have a one-IQ advantage point over later-borns, a difference that is statistically significant, but meaningless, said researchers. Researchers also looked at personality traits and, while they did find differences— first-borns tended to be more extroverted, agreeable and conscientious and have less anxiety than later-borns— the differences were "infinitesimally small," at a correlation of 0.02, lead study author Brent Roberts, a psychology professor at the University of Illinois, said in a press release.