Path-goal theory is concerned with:
a) how leaders go about making decisions in order to attain organizational goals.
b) the relationship between the followers' personal goals and the leaders' organizational goals.
c) the personal style of the leader in combination with the maturity level of followers.
d) how leaders influence subordinates' perceptions of their work goals and how those goals might be attained.
e) the level of participation that a leader might allow a workgroup to assume under varying conditions.

d)

Explanation:

Path-goal theory is one of many theories that refer to leadership.

According to this particular theory, the leader’s job is to create a favorable environment that will help employees reach the common goals set by the organization.

According to this theory, the role of the leader is to clarify which are the goals and help the people of the organization find the best way to achieve these goals as well as remove obstacles.

In this theory, the leader is very close to the subordinates, encouraging them, monitoring them, giving them suggestions in order to reach the organization's goals.

Therefore, we can say that the right answer would be d) how leaders influence subordinates' perceptions of their work goals and how those goals might be attained.

Note:

a) Is not a correct answer since the leaders are not the only ones making decisions but subordinates have a very strong role too.

b) Is not correct because this theory doesn't take in mind the subordinate's personal goals but only the goals of the organization.

c) In this theory, leaders can have different styles as long as they pursue the goals in association with the subordinates. So this option is not right.

e) This theory doesn't focus on participation but on goals.

well 1 they have there leader that controls them