5. On pages 20 to 22 on chapter 6 notes, the topic is how to calculate how large a sample must be to achieve a given confidence level and a given error distance. Suppose we are given the following information. No prior proportions are known, and the formula gives n = 432.41. On page 21 is an example that is worked two different ways. Use this example to decide which option below is most accurate for this situation? Use part (a) method and the correctly rounded value is n = 432 Use part (b) method and the correctly rounded value is n = 433 Use part (b) method and the correctly rounded value is n = 432 Use part (a) method and the correctly rounded value is n = 433
5. On pages 20 to 22 on chapter 6 notes, the topic is how to calculate how large a sample must be to achieve a given confidence level and a given error distance. Suppose we are given the following information. No prior proportions are known, and the formula gives n = 432.41. On page 21 is an example that is worked two different ways. Use this example to decide which option below is most accurate for this situation? Use part (a) method and the correctly rounded value is n = 432 Use part (b) method and the correctly rounded value is n = 433 Use part (b) method and the correctly rounded value is n = 432 Use part (a) method and the correctly rounded value is n = 433
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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Hi, I added a picture of the notes in reference to the question. I appreciate the help, thanks
Transcribed Image Text:Example
Many companies are interested in knowing the percentage of adults who buy
clothing online.
How many adults must be surveyed in order to be 95% confident that the sample
percentage is in error by no more than three percentage points?
a.
b.
solution (a)
b)
Use a recent result from the Census Bureau: 66% of adults buy clothing
online.
Assume that we have no prior information suggesting a possible value of the
proportion.
n =
n =
p=0.66 and q = 1- p=0.34
α = 0.05 so Zα/2 = 1.96
E = 0.03
(Zu/2)²³ pâ
E²
(1.96)² (0.66)(0.34)
(0.03)²
= 957.839
= 958
a = 0.05 so Za/2
E = 0.03
(Zaz)².0.25
E²
(1.96)² -0.25
(0.03)²
= 1067.1111
= 1068
1.96
To be 95% confident that
our sample percentage is
within three percentage
points of the true
percentage for all adults,
we should obtain a simple
random sample of 958
adults.
To be 95% confident that
our sample percentage is
within three percentage
points of the true
percentage for all adults,
we should obtain a simple
random sample of 1068
adults.
Transcribed Image Text:5. On pages 20 to 22 on chapter 6 notes, the topic is how to calculate how
large a sample must be to achieve a given confidence level and a given error
distance. Suppose we are given the following information. No prior
proportions are known, and the formula gives n = 432.41. On page 21 is an
example that is worked two different ways. Use this example to decide which
option below is most accurate for this situation?
Use part (a) method and the correctly rounded value is n = 432
Use part (b) method and the correctly rounded value is n = 433
Use part (b) method and the correctly rounded value is n = 432
Use part (a) method and the correctly rounded value is n = 433
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