Management of a software development firm would like to establish a wellness program during the lunch hour to enhance the physical and mental health of its employees. Before introducing the wellness program, management must first be convinced that a sufficiently large majority of its employees are not already exercising at lunchtime. Specifically, it plans to initiate the program only if less than 40% of its personnel take time to exercise prior to eating lunch. To make this decision, management has surveyed a random sample of 100 employees regarding their midday exercise activities. The results of the survey are given in the file P10_14.XLS. 

a. Using a 10% significance level, is there sufficient evidence for managers of this organization to initiate a corporate wellness program? Why or why not?

b. Using a 1% significance level, is there sufficient evidence for managers of this organization to initiate a corporate wellness program? Why or why not?