O Response bias O Voluntary response bias A bias arising from convenience sampling b) If one combines the 2 groups, considering the overall group to be 1 larger random sample of 982 respondents, what is a 95% confidence interval for the proportion of the general public that thinks the death penalty is being fairly applied? (0.0 (Round to two decimal places as needed.) c) How does the margin of error based on this pooled sample compare with the margins of error from the separate groups? Why? OA. The margin of error of the pooled sample is larger because its sample size is larger. OB. The margin of error of the pooled sample is smaller because its sample size is larger. OC. The margin of error of the pooled sample is the same size because its critical value, z* is the same. OD. The margin of error of the pooled sample is larger because its sample size is smaller. 。 Next

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
icon
Related questions
Question

Q16

A polling company split a random sample in half and asked 491 respondents the question, "Generally speaking, do you believe the death penalty is applied fairly or unfairly in this
country today?" The pollsters asked the other 491 respondents the question, "Generally speaking, do you believe the death penalty is applied unfairly or fairly in this country today?" This
seems like the same question, but sometimes the order of the choices matter. Of those asked the first question, 61% said they thought the death penalty was fairly applied. Of those
asked the second question, 67% said the same thing. Complete parts a through c below.
a) What kind of bias seems most likely to be present here?
O Nonresponse bias
O Response bias
O
Voluntary response bias
A bias arising from convenience sampling
***
b) If one combines the 2 groups, considering the overall group to be 1 larger random sample of 982 respondents, what is a 95% confidence interval for the proportion of the general
public that thinks the death penalty is being fairly applied?
(Round to two decimal places as needed.)
c) How does the margin of error based on this pooled sample compare with the margins of error from the separate groups? Why?
OA. The margin of error of the pooled sample is larger because its sample size is larger.
B. The margin of error of the pooled sample is smaller because its sample size is larger.
OC. The margin of error of the pooled sample is the same size because its critical value, z
OD. The margin of error of the pooled sample is larger because its sample size is smaller.
S
* is the same.
Next
Transcribed Image Text:A polling company split a random sample in half and asked 491 respondents the question, "Generally speaking, do you believe the death penalty is applied fairly or unfairly in this country today?" The pollsters asked the other 491 respondents the question, "Generally speaking, do you believe the death penalty is applied unfairly or fairly in this country today?" This seems like the same question, but sometimes the order of the choices matter. Of those asked the first question, 61% said they thought the death penalty was fairly applied. Of those asked the second question, 67% said the same thing. Complete parts a through c below. a) What kind of bias seems most likely to be present here? O Nonresponse bias O Response bias O Voluntary response bias A bias arising from convenience sampling *** b) If one combines the 2 groups, considering the overall group to be 1 larger random sample of 982 respondents, what is a 95% confidence interval for the proportion of the general public that thinks the death penalty is being fairly applied? (Round to two decimal places as needed.) c) How does the margin of error based on this pooled sample compare with the margins of error from the separate groups? Why? OA. The margin of error of the pooled sample is larger because its sample size is larger. B. The margin of error of the pooled sample is smaller because its sample size is larger. OC. The margin of error of the pooled sample is the same size because its critical value, z OD. The margin of error of the pooled sample is larger because its sample size is smaller. S * is the same. Next
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax