An $F$ -Test with 10 Degrees of Freedom in the Numerator and Numerator

True/False

An $F$ -test with 10 degrees of freedom in the numerator and 5 degrees of freedom in the denominator produced a test statistic whose value was $10.07$ . The null and alternate hypotheses were $H _ { 0 } : \sigma _ { 1 } = \sigma _ { 2 }$ versus $H _ { 1 } : \sigma _ { 1 } < \sigma _ { 2 }$ .
Do you reject $H _ { 0 }$ at the $\alpha = 0.01$ level?