A Researcher Is Investigating Possible Explanations for Deaths in Traffic $\beta$

A researcher is investigating possible explanations for deaths in traffic accidents.He examined data from 1991 for each of the 50 states plus Washington,DC.The data included information on the following variables. As part of his investigation he ran the multiple regression model, Deaths = $\beta$ ₀ + $\beta$ ₁(Children) + $\beta$ ₂(Income) + $\varepsilon$ _i,
Where the deviations $\varepsilon$ _i were assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of $\sigma$ .This model was fit to the data using the method of least squares.The following results were obtained from statistical software. Suppose we wish to test the hypotheses H₀: $\beta$ ₁ = $\beta$ ₂ = 0 versus H_a: at least one of the $\beta$ _j is not 0 using the ANOVA F test.What can we say about the P-value for the ANOVA F test?

A) P-value < 0.001
B) 0.001 <P-value < 0.005
C) 0.005 <P-value < 0.01
D) P-value > 0.01