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 p200070127250.257199333714880.226Estimate 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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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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	701	2725	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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