a) A newspaper journalist is researching people's opinion on the removal of hand sanitiser stations in public places. The journalist took a random sample of 40 adults and found 4 individuals agreed with the removal of hand sanitiser stations in public places. Assume the conditions are satisfied and do NOT need to be checked here.

ii) Calculate a 95% confidence interval. SHOW BASIC WORKINGS.

iii) Interpret your confidence interval for the journalist.

b) A student made the following statement:

"The larger the sample size, the wider the confidence interval, all else held constant."

State whether you agree or disagree with this student.

Briefly explain the reasoning behind your answer.