The research and development​ (R&D) department of a paint manufacturer recently developed a new paint product. The developers are concerned the average area covered per gallon will be less for the new paint than for the existing product. To investigate this​ concern, the​ R&D department set up a test in which two random samples of paint were selected. The first sample consisted of 2020 ​one-gallon containers of the​ company's existing​ product, and the second of 1010 ​one-gallon containers of the new paint. The statistics shown were computed from each sample and refer to the number of square feet that each gallon will cover. Based on the sample​ data, what should the developers conclude using a significance level of 0.050.05​? Assume the populations are normally distributed with equal variances. Current Paint New Paint x overbarx Subscript 1 equals= 421 sq. feet421 sq. feet x overbarx Subscript 2 equals= 407 sq feet407 sq feet s Subscript 1 equals= 23.423.4 s Subscript 2 equals= 16.616.6 n Subscript 1 equals= 2020 n Subscript 2 equals= 1010 Question content area bottom Part 1 If the null hypothesis is H Subscript 0​: muμ Subscript 1minus−muμ Subscript 2less than or equals≤​0, what is the appropriate alternative​ hypothesis? A. H Subscript A​: muμ Subscript 1minus−muμ Subscript 2not equals≠0 B. H Subscript A​: muμ Subscript 1minus−muμ Subscript 2greater than or equals≥0 C. H Subscript A​: muμ Subscript 1minus−muμ Subscript 2equals=0 Your answer is not correct.D. H Subscript A​: muμ Subscript 1minus−muμ Subscript 2less than or equals≤0 E. H Subscript A​: muμ Subscript 1minus−muμ Subscript 2less than<0 F. H Subscript A​: muμ Subscript 1minus−muμ Subscript 2greater than>0 This is the correct answer. Part 2 Determine the rejection region for the test statistic t. Select the correct choice below and fill in the answer box to complete your choice. ​(Round to two decimal places as​ needed.)