Will this work with the original apple hifi?

I have the original hifi. Can this help my iPhone 4s to work on the hifi? When I try it without it, it doesn't seem th shuffle to the next song, and im not sure if my remote works with it as is.Am I doing something wrong?

Apple iPhone 4 Universal Dock Adapter 3-Pack

Apple iPhone 4 Universal Dock Adapter 3-Pack

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