Final answer:
Under the New Jersey Plan, the members of the judiciary branch would be chosen by a unicameral Congress. The plan aimed to provide equal representation for all states and was an alternative to the Virginia Plan, which favored larger states. Eventually, the Great Compromise was adopted to balance representation but did not define the judiciary selection process.
Step-by-step explanation:
The members of the judiciary branch under the New Jersey Plan, which was presented by William Paterson, would be selected by a unicameral Congress. The New Jersey Plan was developed as a response to the Virginia Plan, which advocated for proportional representation in both houses of a bicameral Congress. The New Jersey Plan suggested a national government with a one-house legislature and equal representation for all states, a plural executive, and a judiciary that was independent. In order to balance the interests of both large and small states, the Great Compromise eventually emerged, leading to the establishment of a bicameral legislature with the Senate providing equal representation and the House based on population, but the Great Compromise did not specifically determine the selection process of the judiciary branch.