Use the sample data and confidence level given below to complete parts (a) through (d). In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2649 subjects randomly selected from an online group involved with ears. 1068 surveys were returned. Construct a 99% confidence interval for the proportion of returned surveys. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E= (Round to three decimal places as needed.) c) Construct the confidence interval. 0

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### Confidence Interval Estimation for Proportion

Use the sample data and confidence level given below to complete parts (a) through (d).

In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2649 subjects randomly selected from an online group involved with ears. 1068 surveys were returned. Construct a 99% confidence interval for the proportion of returned surveys.

Click the icon to view a table of z scores.

---

#### a) Find the best point estimate of the population proportion p.
\[ \square \]
(Round to three decimal places as needed.)

---

#### b) Identify the value of the margin of error E.
\[ E = \; \square \]
(Round to three decimal places as needed.)

---

#### c) Construct the confidence interval.
\[ \square < p < \square \]
(Round to three decimal places as needed.)

---

#### d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

A. One has 99% confidence that the sample proportion is equal to the population proportion. 

B. 99% of sample proportions will fall between the lower bound and the upper bound.

C. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

D. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

---

This set of exercises guides you through calculating and interpreting a 99% confidence interval for the proportion of returned surveys in a study about cell phone use and brain hemispheric dominance.
Transcribed Image Text:### Confidence Interval Estimation for Proportion Use the sample data and confidence level given below to complete parts (a) through (d). In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2649 subjects randomly selected from an online group involved with ears. 1068 surveys were returned. Construct a 99% confidence interval for the proportion of returned surveys. Click the icon to view a table of z scores. --- #### a) Find the best point estimate of the population proportion p. \[ \square \] (Round to three decimal places as needed.) --- #### b) Identify the value of the margin of error E. \[ E = \; \square \] (Round to three decimal places as needed.) --- #### c) Construct the confidence interval. \[ \square < p < \square \] (Round to three decimal places as needed.) --- #### d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has 99% confidence that the sample proportion is equal to the population proportion. B. 99% of sample proportions will fall between the lower bound and the upper bound. C. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. D. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. --- This set of exercises guides you through calculating and interpreting a 99% confidence interval for the proportion of returned surveys in a study about cell phone use and brain hemispheric dominance.
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