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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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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