Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 310 claimed they always buckle up. We are interested in the population proportion of drivers who claim they always buckle up.NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Construct a 95% confidence interval for the population proportion who claim they always buckle up.(i) State the confidence interval. (Round your answers to four decimal places.)(ii) Sketch the graph.aC.L. =2P'(iii) Calculate the error bound. (Round your answer to four decimal places.)O Part (e)If this survey were done by telephone, list three difficulties the companies might have in obtaining random results.Children who do not answer the phone will not be included.Individuals may not tell the truth about buckling up.Only people over the age of 24 would be included in the survey.Individuals may choose to participate or not participate in the phone survey.O The individuals in the sample may not accurately reflect the population.II

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Answered: Suppose that insurance companies did a…

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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Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 310 claimed they always buckle up. We are interested in the population proportion of drivers who claim they always buckle up.

NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Construct a 95% confidence interval for the population proportion who claim they always buckle up.
(i) State the confidence interval. (Round your answers to four decimal places.)
(ii) Sketch the graph.
a
C.L. =
2
P'
(iii) Calculate the error bound. (Round your answer to four decimal places.)
O Part (e)
If this survey were done by telephone, list three difficulties the companies might have in obtaining random results.
Children who do not answer the phone will not be included.
Individuals may not tell the truth about buckling up.
Only people over the age of 24 would be included in the survey.
Individuals may choose to participate or not participate in the phone survey.
O The individuals in the sample may not accurately reflect the population.
II

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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