Hi! I need help with these 3 problems. Please do include complete solution/calculation for each problem, thank you so much! :)

7. A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 4% of the true proportion. Find the sample necessary if In a prior study,a sample of 200 people showed that 40 traveled overseas last year. if_ no estimate of the sample proportion is available how large should the sample be? 8. To evaluate the morale of their employees a manager decided to ask his employees to take a Job satisfaction test. The scores are known to follow the normal distribution with standard deviation of 24 points. How large a sample should the manager take if he wants the estimate of the true mean score of the employees not to differ by more than 5 points with 95% confidence? To evaluate the morale of their employees, a manager decided to ask his employees to take a job satisfaction test. The scores are known to follow the normal distribution with standard deviation of 24 points. Due to time constraints, the manager decided to take a random sample of 36 employees and got a sample mean of 80. Create a 99% condence interval estimate for the true mean score of the employees in the job satisfaction test