### Confidence Interval for Proportion of Passing ScoresFrom a large number of actuarial exam scores, a random sample of 250 scores is selected, and it is found that 182 of these 250 are passing scores. Based on this sample, find a 95% confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the 95% confidence interval.Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a [list of formulas](#).- **Lower limit:** [input box]- **Upper limit:** [input box]### Instructions:1. Calculate the sample proportion (p̂) of passing scores.2. Determine the standard error (SE) for the proportion.3. Use the Z-value for the 95% confidence interval.4. Calculate the lower limit and upper limit for the confidence interval.### Example Calculation:1. Sample proportion (p̂) = Number of passing scores / Total number of scores = 182 / 250.2. Standard Error (SE) = sqrt[(p̂(1 - p̂)) / n], where n is the sample size.3. Apply the 95% confidence level (Z-value ≈ 1.96).4. Compute the confidence interval as follows: - Lower limit = p̂ - (Z-value * SE) - Upper limit = p̂ + (Z-value * SE)Enter your final answers rounded to two decimal places. Use the provided input boxes to record your results.

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From a large number of actuarial exam scores, a random sample of 250 scores is selected, and it is found that 182 of these 250 are passing scores. Based on this sample, find a 95% confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.) Lower limit: U ? Upper limit: 0

From a large number of actuarial exam scores, a random sample of 250 scores is selected, and it is found that 182 of these 250 are passing scores. Based on this sample, find a 95% confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.) Lower limit: U ? Upper limit: 0

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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