Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled.
a. At a 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.
b. At a 5% level of significance, test if younger workers in Asia feel more fulfilled than their British counterparts.