is this degree worth it?

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so im currently in community college majoring in lib arts: math and sci. planning to transfer iinto a 4 year and change major to something more specific.

However, i ruled out new media tech: web design bc i always thought learning to code was something you could do on your own, and seemed like a waste of money. But recently I talked to a friend who majors in this and asked him about it and he admitted it was true, however, he says the program provides really good internship programs (he's going to intern for google this summer) and connections that one probably wouldn't come by on their own.

what do you think adv?

lib arts: math & sci > transfer to 4 year > change major to comp sci

or

change major to new media tech: web design >transfer to 4 year > change major to comp sci