An office workers' union thinks that 30% of its members would prefer to return to the office full-time following the pandemic.

1. Using a suitable approximation, calculate the probability that in a random sample of n=240 members at most 38% would indicate a preference for returning to the office full-time. State any assumption(s) you make.

2. A random sample of n=240 union members were asked about their own preference for returning to the office full-time following the pandemic. Of these, 96 indicated they would prefer this type of working arrangement. Based on your result to part 1, what would you conclude?