In a certain survey, a question asked is whether a respondent favors or opposes capital punishment (the death penalty) for persons convicted of murder. The output for this exercise compares the proportions who said that they were opposed to the death penalty in the year 2000 and the year 1993. (Letp1be the proportion in the year 2000 andp2be the proportion in the year 1993.)SampleXNSample p200071127650.257199333714880.226Estimate forp(1) − p(2): 0.031 (a) Find the value of s.e.(p̂1 − p̂2) = standard error of the difference between the two sample proportions. (Round the answer to four decimal places.)s.e.(p̂1 − p̂2) = (b) Find a 90% confidence interval for the difference between the population proportions opposed to the death penalty in the years 2000 and 1993. (Round the answers to three decimal places.)to

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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In a certain survey, a question asked is whether a respondent favors or opposes capital punishment (the death penalty) for persons convicted of murder. The output for this exercise compares the proportions who said that they were opposed to the death penalty in the year 2000 and the year 1993. (Let

p₁

be the proportion in the year 2000 and

p₂

be the proportion in the year 1993.)

Sample	X	N	Sample p
2000	711	2765	0.257
1993	337	1488	0.226

Estimate for

p(1) − p(2): 0.031

(a) Find the value of s.e.(p̂₁ − p̂₂) = standard error of the difference between the two sample proportions. (Round the answer to four decimal places.)
s.e.(p̂₁ − p̂₂) =

(b) Find a 90% confidence interval for the difference between the population proportions opposed to the death penalty in the years 2000 and 1993. (Round the answers to three decimal places.)
to

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