Statistical Inference: Hypothesis testing and estimation A recent survey of 3098 employees of a global HR company were asked at random whether they were satisfied or unsatisfied with the office equipment that the company supplied. Two thousand and three employees reported to be satisfied with the supplied office equipment.

a) What is a 95% confidence interval for the (population) proportion of employees surveyed and felt satisfied with their office equipment. What does this indicate?

b) It has previously been reported that the typical rate of employee satisfaction of office equipment is 3:1, that is for every 3 employees that are satisfied there is 1 employee that is not satisfied. Test the claim that the rate of employee satisfaction is significantly less than this ratio. Use all steps for hypothesis testing to make a conclusion at a significance level (alpha) of 5%.