You won't like this, but this partly explains why you are in a cult religion. The Mormons also preach to "pray about the Book of Mormon and listen for an answer", because they know enough people will get hairs on the back of their neck that will become a sign to them that the Book of Mormon is true, and they get a new contributor to their cult. While God has spoken audibly to people in the Bible, He has made it clear in the Bible, that the Bible is His mode of communication for us, the source of His truth. Paul called the Bereans noble for searching the scriptures to prove the things he said were true. He didn't ask them to pray to see if it were so, or see if hairs on the back of their neck stand up.
I personally do not think that either the JWs or the Mormons are cults. but I realize that there are a wide range of opinions on how closely these groups fit any of the usual definitions. Both of them have certainly been guilty of cult-like behavior at various times but they both have grown to a size where secrecy within their ranks is virtually impossible and that influences my opinion.
Yes, the Mormons do exhort people to pray about the Book of Mormon and be open to receiving confirmation that it is as claimed. They call this the promise that the Book of Mormon prophet Moroni made:
Moroni 10:3 - 5
3 Behold, I would exhort you that when ye shall read these things, if it be wisdom in God that ye should read them, that ye would remember how merciful the Lord hath been unto the children of men, from the creation of Adam even down until the time that ye shall receive these things, and ponder it in your hearts.
4 And when ye shall receive these things, I would exhort you that ye would ask God, the Eternal Father, in the name of Christ, if these things are not true; and if ye shall ask with a sincere heart, with real intent, having faith in Christ, he will manifest the truth of it unto you, by the power of the Holy Ghost.
5 And by the power of the Holy Ghost ye may know the truth of all things.
The usual sign Mormons say to wait for is confirmation by having a "burning in the bosom."