Centers for Disease Control monitors the physical activity level of Americans. A

Question

Centers for Disease Control monitors the physical activity level of Americans. A recent survey on a random sample of 23,129 Americans yielded a 95% confidence interval of 61.1% to 62.9% for the proportion of Americans who walk for at least 10 minutes per day. (a) Interpret this interval in context of the data. (b) Suppose another set of researchers reported a confidence interval with a larger margin of error based on the same sample of 23,129 Americans. How does their confidence level compare to the confidence level of the interval stated above? Centers for Disease Control monitors the physical activity level of Americans. A recent survey on a random sample of 23,129 Americans yielded a 95% confidence interval of 61.1% to 62.9% for the proportion of Americans who walk for at least 10 minutes per day. (a) Interpret this interval in context of the data. (b) Suppose another set of researchers reported a confidence interval with a larger margin of error based on the same sample of 23,129 Americans. How does their confidence level compare to the confidence level of the interval stated above? Centers for Disease Control monitors the physical activity level of Americans. A recent survey on a random sample of 23,129 Americans yielded a 95% confidence interval of 61.1% to 62.9% for the proportion of Americans who walk for at least 10 minutes per day. (a) Interpret this interval in context of the data. (b) Suppose another set of researchers reported a confidence interval with a larger margin of error based on the same sample of 23,129 Americans. How does their confidence level compare to the confidence level of the interval stated above? Centers for Disease Control monitors the physical activity level of Americans. A recent survey on a random sample of 23,129 Americans yielded a 95% confidence interval of 61.1% to 62.9% for the proportion of Americans who walk for at least 10 minutes per day. (a) Interpret this interval in context of the data. (b) Suppose another set of researchers reported a confidence interval with a larger margin of error based on the same sample of 23,129 Americans. How does their confidence level compare to the confidence level of the interval stated above? Centers for Disease Control monitors the physical activity level of Americans. A recent survey on a random sample of 23,129 Americans yielded a 95% confidence interval of 61.1% to 62.9% for the proportion of Americans who walk for at least 10 minutes per day. (a) Interpret this interval in context of the data. (b) Suppose another set of researchers reported a confidence interval with a larger margin of error based on the same sample of 23,129 Americans. How does their confidence level compare to the confidence level of the interval stated above?

Explanation / Answer

a.
interpretations:
1. We are 95% sure that the interval [ 61.1% to 62.9%] contains the true population proportion
2. If a large number of samples are collected, and a confidence interval is created
for each sample, 95% of these intervals will contains the true population proportion

b.
researchers reported a confidence interval with a larger margin of error will be
achived by increasing the confidence interval level. Hence, their confidence level compare to previous in increased

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