I would suggest a high-level structure for your code with comments and TODOs, you can fill in the details. And the last part, where I suggest the structure for newGame method, will help you get rid of the error you are getting.
The structure for ApplicantInfo class:
public class ApplicantInfo {
    private int ID;
    private double quality;
    // Constructor to create an instance with the specified ID value
    public ApplicantInfo(int id){
        // TODO: Initialize the value for ID field
    }
    // Method to get the value for ID
    public int getID(){
        // TODO: return value of ID field
    }
    // Method to set the value for ID
    public void setID(int id){
        // TODO: set the value for ID field
    }
    // Getter and setter methods for "quality" 
    // on the lines of the above methods
}
The structure for AllApplicants class:
public class AllApplicants {
    private ApplicantInfo[] applicantArr = new ApplicantInfo[20];
    // Method to get the applicant info at a given index
    public ApplicantInfo getApplicant(int index){
        // TODO: Get the applicant from the array present at the specified index
    }
    // Method to add an applicant info at a given index
    public boolean addApplicant(ApplicantInfo applicant, int index){
        // TODO: Try to add the specified applicant to the array at the specified index
        // Return true to indicate that the applicant was successfully added, 
        // Return false to indicate that an applicant is already present at the specified index
    }
}
As this is just a skeleton to 
The structure for newGame method:
public void newGame {
    AllApplicants applicants = new AllApplicants();
    // In order to achieve doing "applicants.applicantArr[0].Id = 5;", you
    // need to do the following.
    // Create a new applicant info with ID as 5
    ApplicantInfo applicant = new ApplicantInfo(5);
    // Add the applicant to the applicant array at index 0
    applicants.addApplicant(applicant, 0);
}
In addition to reading about array, as mentioned by @codeman, you may also want to take a look at Java Naming Convention