Reject the claim of cruz campaign

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Assume that two presidential candidates, call them Harris and Cruz, are uncertain about their votes in the population. You can model this race as as a Bernoulli trial, where Y is a random variable with success probability Pr(Y = 1) = p, and where Y = 1 if a person votes for Harris and Y = 0 otherwise. The Cruz campaign claims that he has 54% of the votes (which means p=0.46). However, you polled 350 individuals at random and calculated the sample mean (p^hat) equal to 0.52. Based on your knowledge of the Central Limit Theorem, what is the smallest significance level (p-value) at which you can reject the claim of Cruz's campaign in favor of the alternative hypothesis that Harris has a higher vote share than 0.46?

Reference no: EM132856951

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