How often does work intrude during off hours? A survey of 1,000 office workers indicated that 53% of males and 41% of females had office intrusions while on vacation. (Data extracted from "Office Intrusions on the Off Hours," USA Today Snapshots, November 25, 2013, p. 1A.) Assume that the survey consisted of 500 males and 500 females.

a. At the 0.05 level of significance, is there evidence of a difference in the proportion of males and females who had office intrusions while on vacation?

b. Find the p-value and interpret its meaning.