18. The governor of New York has banned selling or purchasing "large" soft drinks, where a "large" is defined as being more than 16 oz. Sonic, famous for its Route 44 drinks is interested in estimating the proportion of New Yorkers that favor this ban. From a random survey of 800 New Yorkers, 375 answered no to the question, “Do you favor the governor's ban on 'large' soft drinks?" a. Find a 97.5% confidence interval for the proportion of New Yorkers who favor the ban on "large" soft drinks. b. Interpret the confidence interval. c. Can you conclude with 97.5% confidence that a majority of New Yorkers favor the ban on "large" soft drinks? Why or why not. d. Without doing any other calculations, can you be 99% confident that a majority of New Yorkers favor the ban on “large" soft drinks?

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18. The governor of New York has banned selling or purchasing "large" soft drinks, where a "large" is
defined as being more than 16 oz. Sonic, famous for its Route 44 drinks is interested in estimating
the proportion of New Yorkers that favor this ban. From a random survey of 800 New Yorkers, 375
answered no to the question, “Do you favor the governor's ban on 'large' soft drinks?"
a. Find a 97.5% confidence interval for the proportion of New Yorkers who favor the ban on
"large" soft drinks.
b. Interpret the confidence interval.
c. Can you conclude with 97.5% confidence that a majority of New Yorkers favor the ban on
"large" soft drinks? Why or why not.
d. Without doing any other calculations, can you be 99% confident that a majority of New Yorkers
favor the ban on “large" soft drinks?
Transcribed Image Text:18. The governor of New York has banned selling or purchasing "large" soft drinks, where a "large" is defined as being more than 16 oz. Sonic, famous for its Route 44 drinks is interested in estimating the proportion of New Yorkers that favor this ban. From a random survey of 800 New Yorkers, 375 answered no to the question, “Do you favor the governor's ban on 'large' soft drinks?" a. Find a 97.5% confidence interval for the proportion of New Yorkers who favor the ban on "large" soft drinks. b. Interpret the confidence interval. c. Can you conclude with 97.5% confidence that a majority of New Yorkers favor the ban on "large" soft drinks? Why or why not. d. Without doing any other calculations, can you be 99% confident that a majority of New Yorkers favor the ban on “large" soft drinks?
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