2. Candidates A and B are running for president in 2024. Let Y = 1 denote a voter who prefers A, andlet Y = 0 denote a voter who prefers B. Modelling this as a Bernouilli, trial, we define Y as a random variablewith success probability Prob (Y=1) = p, where Y = 1 if a voter prefers A and Y = 0 otherwise. Let p be thefraction of successes (Y = 1) in a sample.А.Under the null hypothesis that the voters are evenly divided (so that candidate A would receive 50% ofthe votes, what is the probability that, in a random sample of 40, candidate A would receive 40% of thevote or less?Repeat the analysis of Part A, but now assume that the random sample has n= 100.The population of the Netherlands is approximately 20 million, whereas the population of the USA isabout 330 million -- more than 16 times larger than the population of the Netherlands. For the same nullhypothesis (p = 0.50) in each country, do pollsters in the USA need to select random samples that aremore than 16 times larger than random samples in the Netherlands? Why, or why not? Explain yourВ.С.answer.

let P0 be the votes received by candidate A=50%=0.50 q0=1-0.50=0.50 In a random sample of 40(n=40),…

Answered: Ý - 1) in a sample. hypothesis that the…

A First Course in Probability (10th Edition)

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Ý - 1) in a sample. hypothesis that the voters are evenly c t is the probability that, in a random sa lysis of Part A, but now assume that t n of the Netherlands is approximately