How to make a Predicate from a custom list of Predicates in Java?

I'm relatively new to programming and I have been wondering for past two days how to make a Predicate that is made from a custom list of other Predicates. So I've came up with some kind of solution. Below is a code snippet that should give you an idea. Because I have written it based on solely reading various pieces of documentations I have two questions: 1/ is it a good solution? 2/ is there some other, recommended solution for this problem?

public class Tester {
  private static ArrayList<Predicate<String>> testerList;

  //some Predicates of type String here...

  public static void addPredicate(Predicate<String> newPredicate) {
    if (testerList == null) 
                 {testerList = new ArrayList<Predicate<String>>();}
    testerList.add(newPredicate);
  }

  public static Predicate<String> customTesters () {
    return s -> testerList.stream().allMatch(t -> t.test(s));

  }
}