We surveyed 45 people in an attempt to determine the proportion of Americans who lease a vehicle. 15 said that they did. What is the 92% confidence interval for the proportion of all Americans who lease a vehicle? Enter your answers accurate to two decimal places. Can we conclude that the proportion of all Americans who lease a vehicle is more than 0.24? O Yes O No O Not enough information to determine this Beyond representative sampling, what assumptions are needed to satisfy the requirements for this confidence interval? OX ~ normal andn > 30 OX - normal or n > 30 OX binomial, np > 5 and ng > 5 i nq OX - binomial and at least 5 successes and failures Submit Question

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Confidence Interval Exercise**

In a survey of 45 individuals, we aimed to determine the proportion of Americans who lease a vehicle. Out of those surveyed, 15 individuals stated they lease a vehicle. We need to calculate the 92% confidence interval for the proportion of all Americans who lease a vehicle. Please enter your answers accurate to two decimal places in the provided fields.

_[Input Fields for Confidence Interval: … to …]_

**Question:**

Can we conclude that the proportion of all Americans who lease a vehicle is more than 0.24?

- Yes
- No
- Not enough information to determine this

**Assumptions for Confidence Interval:**

Beyond representative sampling, what assumptions are needed to satisfy the requirements for this confidence interval?

- \( X \sim \text{normal} \) and \( n \geq 30 \)
- \( X \sim \text{normal} \text{ or } n \geq 30 \)
- \( X \sim \text{binomial}, np \geq 5 \text{ and } nq \geq 5 \)
- \( X \sim \text{binomial} \) and at least 5 successes and failures

_[Submit Question Button]_
Transcribed Image Text:**Confidence Interval Exercise** In a survey of 45 individuals, we aimed to determine the proportion of Americans who lease a vehicle. Out of those surveyed, 15 individuals stated they lease a vehicle. We need to calculate the 92% confidence interval for the proportion of all Americans who lease a vehicle. Please enter your answers accurate to two decimal places in the provided fields. _[Input Fields for Confidence Interval: … to …]_ **Question:** Can we conclude that the proportion of all Americans who lease a vehicle is more than 0.24? - Yes - No - Not enough information to determine this **Assumptions for Confidence Interval:** Beyond representative sampling, what assumptions are needed to satisfy the requirements for this confidence interval? - \( X \sim \text{normal} \) and \( n \geq 30 \) - \( X \sim \text{normal} \text{ or } n \geq 30 \) - \( X \sim \text{binomial}, np \geq 5 \text{ and } nq \geq 5 \) - \( X \sim \text{binomial} \) and at least 5 successes and failures _[Submit Question Button]_
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