The table to the right shows the results of a survey in which 2584 adults from C

Question

The table to the right shows the results of a survey in which 2584 adults from Country A, 1128 adults from Country B, and 1063 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. No, because the two confidence intervals do not overlap. C. Yes, because the two confidence intervals overlap. D. No, because the two confidence intervals overlap.

Explanation / Answer

Corect option B; No, because the two confidence intervals do not overlap.

EXPLANATION:

Confidence Interval for A : (0.277, 0.323)

Confidence interval for B: (0.492, 0.568)

The two confidence intervals do not overlap.

For A; Population proportion is within 0.277 & 0.323

For B: Population proportion is within 0.492 & 0.568.

So, the proportions of A and B are not equal.

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