Question

estimate the proportion of all Americans who believe climate change is a

3. In 2016, the Pew Research Center conducted a survey of 1,004 Canadians and 1,003 Americans to assess their opinion of climate change. The data show that 51% of Canadians and 45% ofAmericans believe climate change is a very serious problem." a. Estimate the proportion of all Canadians who believe climate change is a very serious problem at the 95% confidence interval. b. Estimate the proportion of all Americans who believe climate change is a very serious problem at the 95% confidence interval Would you be confident in reporting that the majority (51% or higher) ofCanadians and Americans believe climate change is a very serious problem? Explain. c

Answer 1

a)

sample size sample proportion p 0.5100 std error Se (p*(1-p)/n) for 95 % CI value of margin of error E-z"std error lower confidence bound-sample proportion-margin of error Upper confidence bound-sample proportion+margin of error 1.960 0.031 0.479 0.541

b)

sample size sample proportion 1003.0 0.4500 p std error Se (p*(1-p)/n) 0.0157 for 95 % CI value of margin of error E-z"std error lower confidence bound-sample proportion-margin of error Upper confidence bound-sample proportion+margin of error 1.960 0.031 0.419 0.481

c)

as both confidence interval in part (a) and (b) for Canadian and American people opinion have proportion values below 0.51 ; therefore we can not conclude that majority of Canadian and American believe climate change is a serious problem