Question

In: Statistics and Probability

A simple random sample of 700 individuals provides 200 Yes responses. a. What is the point...

A simple random sample of 700 individuals provides 200 Yes responses.

a. What is the point estimate of the proportion of the population that would provide Yes responses (to 3 decimals, if needed)?

b. What is your estimate of the standard error of the proportion (to 4 decimals)?

c. Compute the 95% confidence interval for the population proportion (to 3 decimals).
( , )

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 1,760 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).

Solutions

Expert Solution

1).given data are:-

x = 200, n =700

a. the point estimate of the proportion of the population that would provide Yes responses be:-

b.the estimate of the standard error of the proportion be:-

c. z critical value for 95% confidence level, both tailed test be:-

the 95% confidence interval for the population proportion be:-

2).given data are:-

x = 1760, n =2000

a).the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern be:-

b.z critical value for 90% confidence level, both tailed test be:-

At 90% confidence, what is the margin of error be:-

c).a 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern be:-

d. z critical value for 95% confidence level, both tailed test be:-

the 95% confidence interval for this population proportion be:-

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