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Statistics Help!! watch

1. Trying to conduct a hypothesis test comparing the proportion of people that prefer one brand to another. 47% of people prefer brand A, 45% of people prefer B, and 8% have no preference. Sample size is 400. X denotes number of people that prefer A, and Y denotes number of people that prefer B.

I have null-hypothesis: p=0.5, where p is probability that an individual prefers A to B (conditional on the fact they have a preference) , and alternative is p does not equal 0.5.

I think that X (and Y) have a binomial distribution, X ~ Bin (400, 0.5) under the null-hypothesis.

I'm not too sure what hypothesis test to use, and thereby calculate the p-value.

Thanks

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