FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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In a survey of 2480 golfers, 15% said they were left-handed. The survey’s margin of error was 3%. Construct a confidence interval for the proportion of left-handed golfers.
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(0.18, 0.21)
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(0.12, 0.18)
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(0.12, 0.15)
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(0.11, 0.19)
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Explanation:
Detailed explanation-1: -For a margin of error of 5% and confidence level 95% you will need 356 respondents in total (see also our sample size calculator, spread proportionally across the schools. This is when you want to draw conclusions for your population in general.
Detailed explanation-2: -A 90% confidence interval has a z-score (a critical value) of 1.645. In conclusion, the margin of error is 2.52%.
Detailed explanation-3: -The sample proportion is the best point estimate of the population proportion. We can use a sample proportion to construct a confidence interval to estimate the true value of a population proportion, and we should know how to interpret such confidence intervals.
There is 1 question to complete.