Math

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An environmental survey contained a question asking what respondents
thought was the major cause of air pollution in this country, giving the choices “automobiles,” “factories,” and “incinerators.” Two versions of the test, A and B, were used. Let p A and p B be the respective proportions of people using forms A and B who select “factories.” If 170 out of 460 people who used version A chose “factories” and
141 out of 440 people who used version B chose “factories,”
(a) Find a 95% confidence interval for pA – p B .
(b) Do the versions seem to be consistent concerning this answer? Why or why not?

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