A null hypothesis states that the population proportion p of headache sufferers who have better pain relief with aspirin than with another pain reliever equals 0.50. For a crossover study with 10 subjects, all 10 have better relief with aspirin. If the null hypothesis were true, by the binomial distribution the probability of this sample result (which is the most extreme) equals (0.50)¹⁰ = 0.001. In fact, this is the small-sample P-value for testing H₀: p = 0.50 against Ha: p > 0.50. Does this P-value give (a) strong evidence in favor of H₀ (b) strong evidence against H₀? Explain why.