Question

The table to the right shows the results of a survey in which 2552 adults from Country​ A, 1109 adults from Country​ B, and 1055 adults from Country C were asked if they believe climate change poses a...

The table to the right shows the results of a survey in which 2552 adults from Country​ A, 1109 adults from Country​ B, and 1055 adults from Country C were asked if they believe climate change poses a large threat to the world. Complete parts​ (a), (b), and​ (c).

​(a) Determine whether it is reasonably possible that the proportion of adults from Country A and the proportion of adults from Country B are equal and explain your reasoning. Choose the correct answer below.

A.

​Yes, because the two confidence intervals do not overlap.

B.

​Yes, because the two confidence intervals overlap.

C.

​No, because the two confidence intervals overlap.

D.

​No, because the two confidence intervals do not overlap.

​(b) Determine whether it is reasonably possible that the proportion of adults from Country B and the proportion of adults from Country C are equal and explain your reasoning. Choose the correct answer below.

A.

​Yes, because the two confidence intervals overlap.

B.

​No, because the two confidence intervals overlap.

C.

​No, because the two confidence intervals do not overlap.

D.

​Yes, because the two confidence intervals do not overlap.

​(c) Determine whether it is reasonably possible that the proportion of adults from Country A and the proportion of adults from Country C are equal and explain your reasoning. Choose the correct answer below.

A.

​Yes, because the two confidence intervals do not overlap.

B.

​No, because the two confidence intervals overlap.

C.

​No, because the two confidence intervals do not overlap.

D.

​Yes, because the two confidence intervals overlap.

Does climate change pose a large threat to the world?

Country

Yes

​99% CI

A

29​%

​(0.267,0.313​)

B

53​%

​(0.491,0.569​)

C

30​%

​(0.264,0.336​)

0 0
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