# Question: Although most people are aware of minor dehydration symptoms such

Although most people are aware of minor dehydration symptoms such as dry skin and headaches, many are less knowledgeable about the causes of dehydration. According to a poll done for the Nutrition Information Center, the results of a random sample of 3003 American adults showed that 20% did not know that caffeine dehydrates. The survey listed a margin of error of plus or minus 1.8%.

a. Describe how this survey of 3003 American adults fits the properties of a binomial experiment. Specifically identify n, a trial, success, p, and x.

b. What is the point estimate for the proportion of all Americans who did not know that caffeine dehydrates? Is it a parameter or a statistic?

c. Calculate the 95% confidence maximum error of estimate for a binomial experiment of 3003 trials that result in an observed proportion of 0.20.

d. How is the maximum error, found in part c, related to the 1.8% margin of error quoted in the survey report?

e. Find the 95% confidence interval for the true proportion p based on a binomial experiment of 3003 trials that results in an observed proportion of 0.20.

a. Describe how this survey of 3003 American adults fits the properties of a binomial experiment. Specifically identify n, a trial, success, p, and x.

b. What is the point estimate for the proportion of all Americans who did not know that caffeine dehydrates? Is it a parameter or a statistic?

c. Calculate the 95% confidence maximum error of estimate for a binomial experiment of 3003 trials that result in an observed proportion of 0.20.

d. How is the maximum error, found in part c, related to the 1.8% margin of error quoted in the survey report?

e. Find the 95% confidence interval for the true proportion p based on a binomial experiment of 3003 trials that results in an observed proportion of 0.20.

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