A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 90% confidence if (a) she uses a previous estimate of 0.52? (b) she does not use any prior estimates? E Click the icon to view the table of critical values. Table of critical values (a) n = I (Round up to the nearest integer.) (b) n= (Round up to the nearest integer.) Critical Value, Area in Each Tail, Level of Confidence, (1 - a) - 100% 90% 0.05 1645 95% 0.025 196 99% 0.005 2.575 Print Done
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 90% confidence if (a) she uses a previous estimate of 0.52? (b) she does not use any prior estimates? E Click the icon to view the table of critical values. Table of critical values (a) n = I (Round up to the nearest integer.) (b) n= (Round up to the nearest integer.) Critical Value, Area in Each Tail, Level of Confidence, (1 - a) - 100% 90% 0.05 1645 95% 0.025 196 99% 0.005 2.575 Print Done
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Sample Size Estimation for Proportion of Adults with High-Speed Internet Access**
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 90% confidence if:
(a) She uses a previous estimate of 0.52?
(b) She does not use any prior estimates?
\[ \text{(a) } n = \_\_\_ \text{ (Round up to the nearest integer.)} \]
\[ \text{(b) } n = \_\_\_ \text{ (Round up to the nearest integer.)} \]
**Table of Critical Values**
| Level of Confidence, \( (1 - \alpha) \times 100\% \) | Area in Each Tail, \( \frac{\alpha}{2} \) | Critical Value, \( z_{\alpha/2} \) |
|-------------------------------------------------------|------------------------------------------|--------------------------------|
| 90% | 0.05 | 1.645 |
| 95% | 0.025 | 1.96 |
| 99% | 0.005 | 2.575 |
**Instructions:**
- Click the icon to view the table of critical values.
- Use the table to determine the critical value corresponding to the desired confidence level. This will aid in calculating the required sample size.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd80315fc-9ba3-472b-8f03-e8ddf0a99e1b%2Fd2c96682-456f-436c-8e80-80d3063e3701%2Fjxw658k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Sample Size Estimation for Proportion of Adults with High-Speed Internet Access**
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 90% confidence if:
(a) She uses a previous estimate of 0.52?
(b) She does not use any prior estimates?
\[ \text{(a) } n = \_\_\_ \text{ (Round up to the nearest integer.)} \]
\[ \text{(b) } n = \_\_\_ \text{ (Round up to the nearest integer.)} \]
**Table of Critical Values**
| Level of Confidence, \( (1 - \alpha) \times 100\% \) | Area in Each Tail, \( \frac{\alpha}{2} \) | Critical Value, \( z_{\alpha/2} \) |
|-------------------------------------------------------|------------------------------------------|--------------------------------|
| 90% | 0.05 | 1.645 |
| 95% | 0.025 | 1.96 |
| 99% | 0.005 | 2.575 |
**Instructions:**
- Click the icon to view the table of critical values.
- Use the table to determine the critical value corresponding to the desired confidence level. This will aid in calculating the required sample size.
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