Final answer:
The five-step decision-making process does not end with 'make a choice', as 'evaluate the decision' is the final step; hence, the statement is false. Also, it is true that majority rule might fail in producing a clear outcome when more than two options exist due to the vote paradox.
Step-by-step explanation:
The statement about the five-step decision-making process is false. The five-step decision-making process actually involves the following steps: identifying the problem, gathering information, evaluating alternatives, making a choice, and finally, evaluating the decision. Therefore, making a choice is not the final step, as evaluating the decision comes after it. It's essential in the decision-making process to assess the outcomes to determine if the choice was effective.
Concerning the true or false statement about majority rule, it is indeed true that majority rule can fail to produce a single preferred outcome when there are more than two choices. This is known as the Condorcet paradox or the vote paradox, where collective preferences can be cyclical even if the individual preferences are not, making it impossible to determine a clear winner.