The table to the right shows the results of a survey in which 2558 adults from Country? A, 1104 adults from Country? B, and 1060 adults from Country C were asked if human activity contributes to global warming. Complete parts? (a), (b), and? (c). Adults who say that human activity contributes to global warming Country Upper A 60 ?% Country Upper B 87 ?% Country Upper C 93 ?% ?(a) Construct a 90 ?% confidence interval for the proportion of adults from Country Upper A who say human activity contributes to global warming. left parenthesis nothing comma nothing right parenthesis ?(Round to three decimal places as? needed.) ?(b) Construct a 90 ?% confidence interval for the proportion of adults from Country Upper B who say human activity contributes to global warming. left parenthesis nothing comma nothing right parenthesis ?(Round to three decimal places as? needed.) ?(c) Construct a 90 ?% confidence interval for the proportion of adults from Country Upper C who say human activity contributes to global warming. left parenthesis nothing comma nothing right parenthesis ?(Round to three decimal places as? needed.)
The statistical software output for this problem is:
One sample proportion summary confidence
interval:
p : Proportion of successes
Method: Standard-Wald
90% confidence interval results:
Proportion | Count | Total | Sample Prop. | Std. Err. | L. Limit | U. Limit |
---|---|---|---|---|---|---|
p | 1534.8 | 2558 | 0.6 | 0.0096862428 | 0.58406755 | 0.61593245 |
90% confidence interval results:
Proportion | Count | Total | Sample Prop. | Std. Err. | L. Limit | U. Limit |
---|---|---|---|---|---|---|
p | 960.48 | 1104 | 0.87 | 0.010121544 | 0.85335154 | 0.88664846 |
90% confidence interval results:
Proportion | Count | Total | Sample Prop. | Std. Err. | L. Limit | U. Limit |
---|---|---|---|---|---|---|
p | 985.8 | 1060 | 0.93 | 0.0078367783 | 0.91710965 | 0.94289035 |
Hence,
90% confidence intervals will be:
For A: (0.584, 0.616)
For B: (0.853, 0.887)
For C: (0.917, 0.943)
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