A newspaper reported that the proportion of Americans who prefer cheese on their burgers is0.82. This estimate was based on a survey of a representative sample of 1,000 adult Americans.Calculate a 90% confidence interval for the proportion of Americans who prefer cheese on their burgers. (Round your answers to three decimal places.)

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Interpret the interval.We are 90% confident that the proportion of Americans in the sample who prefer cheese on their burgers falls within this interval.We are 90% confident that the true proportion of Americans who prefer cheese on their burgers falls within this interval. We are 90% confident that the true proportion of Americans who prefer cheese on their burgers falls directly in the middle of this interval.There is a 90% chance that the true proportion of Americans who prefer cheese on their burgers falls within this interval.There is a 90% chance that the true proportion of Americans who prefer cheese on their burgers falls directly in the middle of this interval.