Assume that a sample is used to estimate a population proportion p. Find the 95% confidence interval for a sample of size 119 with 93 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. C.I. =

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### Confidence Interval Estimation

Assume that a sample is used to estimate a population proportion \( p \). Find the 95% confidence interval for a sample of size 119 with 93 successes. Enter your answer as an **open-interval** (i.e., parentheses) using decimals (not percents) accurate to three decimal places.

#### Prompt:
- **C.I. =** [Enter your answer here]

This exercise illustrates how to calculate a confidence interval for a population proportion based on a given sample size and number of successes. To solve this, you will employ statistical methods for estimating intervals and ensure accuracy to three decimal places.
Transcribed Image Text:### Confidence Interval Estimation Assume that a sample is used to estimate a population proportion \( p \). Find the 95% confidence interval for a sample of size 119 with 93 successes. Enter your answer as an **open-interval** (i.e., parentheses) using decimals (not percents) accurate to three decimal places. #### Prompt: - **C.I. =** [Enter your answer here] This exercise illustrates how to calculate a confidence interval for a population proportion based on a given sample size and number of successes. To solve this, you will employ statistical methods for estimating intervals and ensure accuracy to three decimal places.
Expert Solution
Step 1: Introducing the given information

From the provided information,

Sample size (n) = 119

Number of successes (x) = 93

Confidence level (c) = 0.95

The sample proportion can be obtained as:

p with hat on top equals space x over n equals 93 over 119
p with hat on top equals 0.7815

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