estimate the percentage A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs estimate is in error by no more than five percentage points? Complete parts (a) through (c) below. computers that use a new operating system. How many computers must be surveyed in order to be 99% confident that his a) Assume that nothing is known about the percentage of computers with new operating systems. (Round up to the nearest integer.) b) Assume that a recent survey suggests that about 96% of computers use a new operating system. (Round up to the nearest integer.) c) Does the additional survey information from part (b) have much of an effect on the sample size that is required? O A. Yes, using the additional survey information from part (b) dramatically increases the sample size. O B. No, using the additional survey information from part (b) only slightly increases the sample size. OC. No, using the additional survey information from part (b) does not change the sample size. O D. Yes, using the additional survey information from part (b) dramatically reduces the sample size.

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### Estimating Sample Size for New Software System Adoption

A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 99% confident that his estimate is in error by no more than five percentage points? Complete parts (a) through (c) below.

#### a) Assume that nothing is known about the percentage of computers with new operating systems.

\[ n = \text{\_\_\_} \]
(Round up to the nearest integer.)

#### b) Assume that a recent survey suggests that about 96% of computers use a new operating system.

\[ n = \text{\_\_\_} \]
(Round up to the nearest integer.)

#### c) Does the additional survey information from part (b) have much of an effect on the sample size that is required?

- **A.** Yes, using the additional survey information from part (b) dramatically increases the sample size.
- **B.** No, using the additional survey information from part (b) only slightly increases the sample size.
- **C.** No, using the additional survey information from part (b) does not change the sample size.
- **D.** Yes, using the additional survey information from part (b) dramatically reduces the sample size.

### Explanation

There are no graphs or diagrams in the provided image. The image contains text that poses a problem related to determining sample size for estimating the percentage of computers using a new operating system with a specified confidence interval. It presents different scenarios for calculating sample sizes and asks to analyze the effect of additional information on the required sample size.
Transcribed Image Text:### Estimating Sample Size for New Software System Adoption A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 99% confident that his estimate is in error by no more than five percentage points? Complete parts (a) through (c) below. #### a) Assume that nothing is known about the percentage of computers with new operating systems. \[ n = \text{\_\_\_} \] (Round up to the nearest integer.) #### b) Assume that a recent survey suggests that about 96% of computers use a new operating system. \[ n = \text{\_\_\_} \] (Round up to the nearest integer.) #### c) Does the additional survey information from part (b) have much of an effect on the sample size that is required? - **A.** Yes, using the additional survey information from part (b) dramatically increases the sample size. - **B.** No, using the additional survey information from part (b) only slightly increases the sample size. - **C.** No, using the additional survey information from part (b) does not change the sample size. - **D.** Yes, using the additional survey information from part (b) dramatically reduces the sample size. ### Explanation There are no graphs or diagrams in the provided image. The image contains text that poses a problem related to determining sample size for estimating the percentage of computers using a new operating system with a specified confidence interval. It presents different scenarios for calculating sample sizes and asks to analyze the effect of additional information on the required sample size.
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