The Following Data for Five Years of the Annual Returns

question 55

Multiple Choice

The following data for five years of the annual returns for two of Vanguard's mutual funds, the Vanguard Energy Fund (x) and the Vanguard Healthcare Fund (y) , were given as s_x = 35.77, s_y = 13.34, s_xy = 447.68. The competing hypotheses are H₀: ρ_xy = 0, H_A: ρ_xy ≠ 0. At the 5% significance level, which of the following is the critical value of the test statistic?

• A) 2.353
• B) 2.571
• C) 2.776
• D) 3.182

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