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How do I select sub-set of fishnet grid using points?

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Greetings. I am a brand new user of GIS tools. I believe that my problem is caused by inability to use the correct terms to search for a solution. I'm hoping I can give my problem to you guys in plain English and you can tell me what to do in ESRI-speak.

1) I have a study site that I have divided up into 15km cells using the fishnet tool.
2) I have a shape file with a bunch of points where information was collected within the study area.
3) I need to separate the cells with a point in them from the cells without a point in them. I have tried using spatial join, join, split, merge, and who knows how many tools trying to figure this out. All I can ever get is another shape file with my sites. What I would like is a shape file with a bunch of squares representing the cells where data were collected.

To help clarify things, I have attached an image where I drew yellow squares representing what I am looking for. I have to do this a lot so I don't want to draw them every time.

Can someone point me in the right direction? Thank you.

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