Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A polling company split a random sample in half and asked 597 respondents the qu

ID: 3058942 • Letter: A

Question

A polling company split a random sample in half and asked 597 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 597 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 rder o the choices atte Of those asked the st question, 50% said they though fhe death penalty was ai, ar ied Othose asked the second question,62% 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 0 Response bias O Voluntary response bias O A bias arising from convenience sampling 1 of o b) if one combines the 2 groups, considering the overall group to be 1 larger random sample of 1194 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) :) How does the margin of eror based on this pooled sample compare with the margins of error from the separate groups? Why? O A. The margin of error of the pooled sample is larger because its sample size is larger O B. The margin of error of the pooled sample is the same size because its critical value, zt is the same C. The margin of error of the pooled sample is smaller because its sample size is larger D. The margin of error of the pooled sample is larger because its sample size is smaller Click to select your answer(s)

Explanation / Answer

A polling company split a random sample in half and asked 597 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 597 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 rder o the choices atte Of those asked the st question, 50% said they though fhe death penalty was ai, ar ied Othose asked the second question,62% 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 0 Response bias O Voluntary response bias O A bias arising from convenience sampling 1 of o b) if one combines the 2 groups, considering the overall group to be 1 larger random sample of 1194 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) :) How does the margin of eror based on this pooled sample compare with the margins of error from the separate groups? Why? O A. The margin of error of the pooled sample is larger because its sample size is larger O B. The margin of error of the pooled sample is the same size because its critical value, zt is the same C. The margin of error of the pooled sample is smaller because its sample size is larger D. The margin of error of the pooled sample is larger because its sample size is smaller Click to select your answer(s)