18. According to a 2008 survey by the Pew Research Center, people in China are highly satisfied with their roaring economy and the direction o f their nation

(USA Today, July 2 2 , 2008). Eighty-six percent o f those who were surveyed expressed positive views o f the way China is progressing and described the economic situation as good. A political analyst wants to know if this optimism among the Chinese depends on age. In an independent survey o f 280 Chinese residents, the respondents are asked how happy they are with the direction th a t their country is taking. Their responses are tabulated below.

Age Very Happy Somewhat Happy Not Happy 20 up to 40 23 50 18 40 up to 60 51 38 16 60 and above 19 45 20

a. Set up the appropriate hypotheses to test the claim that optimism regarding China's direction depends on the age o f the respondent.

b. Use Excel to compute the p-value for the test.

c. At a 1% level o f significance, can we infer that optimism among the Chinese is dependent on age?