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Consider 62 pair of observations \((x_i, y_i)\), \(i = 1, \ldots, 62\), obtained from the distribution of \((X, Y)\). The Pearson correlation coefficient (\(R\)) of these observations is 0.27.

Which one of the following statements is CORRECT for a significance level \(\alpha = 0.05\) and \(t_{0.025,60} = 2.0\)?

Hint: Test statistic \( t = \dfrac{R\sqrt{n-2}}{\sqrt{1-R^2}} \)
  • GATE GE - 2026
  • GATE GE
  • Engineering Mathematics
  • Hypothesis Testing on the Correlation Coefficient
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