8.107 Working in Retirement Research released by Investors Group shows that non-retired Canadians overwhelmingly say their physical health is better than their financial health (67%) and many may be relying on continued good health to enable them to keep working during their retirement years.25 The majority of working Canadians (56%) agree that they think they would not have enough money to live on if they stopped working entirely, but maintaining social connections and gaining new experiences also appear to be on the minds of Canadians as they envision their retirement lifestyle. From survey respondents, 30% said the opportunity to maintain connections with other people was a benefit of working in retirement. The research given in the table showed interesting gender differences. Results are based on a sample of 2170 Canadians.

a. Construct a 95% confidence interval for the true proportion who agreed that physical health is better than financial health.

b. If a women's group consisted of n = 160 individu- als, find a 95% confidence interval for the propor- tion of Canadian women who agreed that money is more important.

c. Find a 98% confidence interval for the true differ- ence in proportions of women and men who said social connection is important.

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Men Woman All Physical health is 64% 70% 67% better than financial health Social connection 27% 37% 36% Money is important 28% 34% -