In: Math
The Consumer Reports National Research Center conducted a telephone survey of 2,000 adults to learn about the major economic concerns for the future. The survey results showed that 1,740 of the respondents think the future health of Social Security is a major economic concern.
If computing the confidence intervals manually, make sure to use at least three decimal digits for the critical values.
a. What is the point estimate of the population
proportion of adults who think the future health of Social Security
is a major economic concern?
b. At 90% confidence, what is the margin of
error (to 4 decimals)?
c. Develop a 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern (to 3 decimals).
( , ) , ( , )
d. Develop a 95% confidence interval for this population proportion (to 3 decimals).
( , ) , ( , )
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The range for a set of data is estimated to be 24.
e. What is the planning value for the population standard deviation?
f. At 95% confidence, how large a sample would provide a margin of error of 3?
g. At 95% confidence, how large a sample would provide a margin of error of 2?