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: μ₁ = μ₂; α = 0.01 Population parameters: ₁ =3.5, 0₂ = 1.6 Sample statistics: x₁=14, n₁ = 28, x₂ = 16, n₂ = 26 Determine the alternative hypothesis. Ha: H₁ Determine the standardized test statistic. Z= (Round to two decimal places as needed.) Determine the P-value. P-value= (Round to three decimal places as needed.) What is the proper decision? O A. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. O B. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. OC. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. O D. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim. (...)

A: a)The two methods to test the difference in mean are: z-test t-test

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