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
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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.
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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