Answer all, and please show work so Ican understand

1. a) Find Z/2 for a 92% confidence interval. Make a sketch and round to 3 decimal places. b)Find Z that separates the top 15%. Make a sketch and round to 3 decimal places.

2.manager of the dairy section of a large supermarket took a random sample of 250 egg cartons and found that 40 cartons had at least one broken egg. a) Find the sample proportion.

b) Find the critical value Z/2 for a 95% confidence interval. c) Find a 95% confidence interval for p, the proportion of egg cartons that have at least one broken egg. d) Express your confidence interval in words. e) What is the margin of error? f) What sample size would be needed for a margin of error of 3%?