The confidence interval for the proportion of left-handed golfers is of:
(0.12, 0.18).
<h3>How to obtain a confidence interval?</h3>
A confidence interval is calculated as the sample mean plus/minus the margin of error, hence the bounds of the confidence interval are given as follows:
- Lower bound: sample mean - margin of error.
- Upper bound: sample mean + margin of error.
In the context of this problem, these parameters are given as follows:
- Sample mean: 15% as a percentage, 0.15 as a proportion.
- Margin of error: 3% as a percentage, 0.03 as a proportion.
Hence the lower bound of the confidence interval for the proportion of left-handed golfers is:
0.15 - 0.03 = 0.12.
The upper bound of the confidence interval for the proportion of left-handed golfers is:
0.15 + 0.03 = 0.18.
Then the interval is:
(0.12, 0.18).
More can be learned about confidence intervals at brainly.com/question/25890103
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