Test the claim about the difference between two population means mu_1 and mu_2 at the level of significance alpha. Assume the samples are random and independent, and the populations are normally distributed. Claim: mu_1 = mu_2: alpha = 0.01 Population statistics: sigma_1 = 3.2, sigma_2 = 1.7 Sample statistics x_1 = 16, n_1 = 30, x_2 = 18, n_2 = 27 Determine the alternative hypothesis. H_a: mu_1 mu_2 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?

A. Fail to reject H_0. There is enough evidence at the 1% level of significance to reject the claim
B. Fail to reject H_0. There is not enough evidence at the 1 % level of significance to reject the claim.
C. Reject H_0. There is enough evidence at the 1% level of significance to reject the claim.
D. Reject H_0. There is not enough evidence at the 1% level of significance to reject the claim.