Show transcribed image text A polling company split a random sample in half and asked 427 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 427 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, 60% sad 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? 0 O O O Response bias Nonresponse bias Abias arising from convenience sampling Voluntary response bias tion of b) If one combines the 2 groups considering the overall group to be 1 larger random sample of 854 respondents, what is a 95% confidence interval for the prop the general public that thinks the death penalty is being fairly applied? (Round to two decimal places as needed.) o) How does the margin of error 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 smaller. O B. The margin of error of the pooled sample is larger because its sample size is larger ° C. The margin of error of the pooled sample is the same size because its critical value, z * is the same. O D. The margin of error of the pooled sample is smaller because its sample size is larger.
A polling company split a random sample in half and asked 427 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 427 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, 60% sad 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? 0 O O O Response bias Nonresponse bias Abias arising from convenience sampling Voluntary response bias tion of b) If one combines the 2 groups considering the overall group to be 1 larger random sample of 854 respondents, what is a 95% confidence interval for the prop the general public that thinks the death penalty is being fairly applied? (Round to two decimal places as needed.) o) How does the margin of error 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 smaller. O B. The margin of error of the pooled sample is larger because its sample size is larger ° C. The margin of error of the pooled sample is the same size because its critical value, z * is the same. O D. The margin of error of the pooled sample is smaller because its sample size is larger.
