Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 300 claimed to always bučkle up. We are interested in the populatión who claim to 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 O Part (a) (1) (i) n= (ii) p'= (rounded to four decimal places) O Part (b) O Part (c) Which distribution should you use for this problem? (Round your answer to four decimal places.) Explain your choice. O The normal distribution should be used because we are interested in proportions and the sample size is large. O The Student's t-distribution should be used because we do not know the standard deviation. O The Student's t-distribution should be used because V npg s 10, which implies a small sample.
Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 300 claimed to always bučkle up. We are interested in the populatión who claim to 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 O Part (a) (1) (i) n= (ii) p'= (rounded to four decimal places) O Part (b) O Part (c) Which distribution should you use for this problem? (Round your answer to four decimal places.) Explain your choice. O The normal distribution should be used because we are interested in proportions and the sample size is large. O The Student's t-distribution should be used because we do not know the standard deviation. O The Student's t-distribution should be used because V npg s 10, which implies a small sample.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question

Transcribed Image Text:Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 300 claimed to always buckle up. We are interested in the population proportion of drivers
who claim to 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.)
O Part (a)
(i)
x =
(ii)
n =
(ii)
p'=
(rounded to four decimal places)
O Part (b)
A Part (c)
Which distribution should you use for this problem? (Round your answer to four decimal places.)
P'-
Explain your choice.
O The normal distribution should be used because we are interested in proportions and the sample size is large.
O The Student's t-distribution should be used because we do not know the standard deviation.
O The Student's t-distribution should be used because Vnpg s 10, which implies a small sample.
O The binomial distribution should be used because there are two outcomes, buckle up or do not buckle up.
Correct! We use the standard normal distribution to create confidence intervals about the population proportion.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman