The are 10 million voters in some country and two political parties A and B with...

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The are 10 million voters in some country and two political parties A and B with 5.5 million and 4.5 million supporters, respectively. A sample of N people is to be randomly chosen. How big N must be so that, with 99.9% certainty, in the sample there are more supporters of A than of B? The are 10 million voters in some country and two political parties A and B with 5.5 million and 4.5 million supporters, respectively. A sample of N people is to be randomly chosen. How big N must be so that, with 99.9% certainty, in the sample there are more supporters of A than of B?