A Pew poll found that in a sample of 1002 adults, 621 had a social media account. The study was repeated a year later, and 631 out of 971 adults has social media accounts.

a. Construct a 95% confidence interval for the increase in the proportion of adults with social media accounts during the year between the surveys.

b. An executive at a social media company claims that the proportion of adults with social media accounts increased by more than 0.10 during the year. Does the confidence interval contradict this claim?