Ononot — In a study using a ratio estimator \hat{Y}R = \frac{\bar{y}}

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In a study using a ratio estimator $\hat{Y}_R = \frac{\bar{y}}{\bar{x}} X$ , the variance is approximated as $V(\hat{Y}_R) \approx N^2 \frac{1-f}{n} (S_y^2 + R^2 S_x^2 - 2R S_{yx})$ . What is the condition under which the ratio estimator is more efficient than the SRS mean estimator $\hat{Y} = N\bar{y}$ ?