=+36. Investment options. A full service brokerage firm surveyed a random sample of 1200 clients asking them to indicate the likelihood that they would add inflation-linked annuities and bonds to their portfolios within the next year.

The table below shows the distribution of responses by the investors’ tolerance for risk. Test an appropriate hypothesis for the relationship between risk tolerance and the likelihood of investing in inflation-linked options.

Risk Tolerance Averse Neutral Seeking Total Likelihood of Investing in Inflation-Linked Options Certain Will Invest 191 93 40 324 Likely to Invest 82 106 123 311 Not Likely to Invest 64 110 101 275 Certain Will Not Invest 63 91 136 290 Total 400 400 400 1200