1. To assess company morale, the HR manager at It’s-A-Living, Inc. (IAL) randomly samples 100 company employees. Of the sample, 60 say that they are happy with their jobs.
Using the normal approximation to the binomial, the company’s data analyst correctly computes a 95% confidence interval of 0.6 ± 0.124. Which of the following gives a correct interpretation of this interval?
A. Based on this sample, we are 95% confident that at least 50% of IAL employees are happy with their jobs.
B. Based on this sample, we are 95% confident that more than 45% of IAL employees are happy with their jobs.
C. Based on this sample, we are 95% confident that fewer than 50% of IAL employees are happy with their jobs.
D. Based on this sample we are 95% confident that fewer than 60% of IAL employees are happy with their jobs.
Please provide an explanation for your answer, thank you :)
