Test the claim about the difference between two population means ₁ and ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁₂: α=0.01. Assume o? = 0² Sample statistics: x₁ = 31.7, s₁ = 3.4, n₁ = 14 and X₂ = 34.6, S₂ = 2.2, n₂ = 19 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Hai H2 H2 OC. Ho: H₁ H₂ Ha: H1 H₂ O E. Ho: H₁ H₂ Ha: H1 H₂ Find the standardized test statistic t. t= (Round to two decimal places as needed.). Find the P-value. P= (Round to three decimal places as needed.) OB. Ho: H₁2H₂ Ha: H₁ H2 OD. Ho: H₁ H₂ Ha: H1 H₂ OF. Ho: H₁ H₂ Hai taH2