What are some examples of calculating confidence intervals?
An example of an AI chatbot conversation about confidence intervals calculation examples.
What are some examples of calculating confidence intervals?
Confidence intervals provide a range of values that likely contain the population parameter. Would you like to see a specific example?
Yes, can you show me how to calculate a confidence interval for a sample mean?
Sure! Let's say you have a sample mean of 50, a standard deviation of 10, and a sample size of 30. For a 95% confidence level, the formula is:
CI = mean ± (Z * (σ/√n))
Where Z is the Z-value for 95% confidence, which is approximately 1.96.
How do I find the Z-value?
The Z-value can be found using a Z-table or standard normal distribution table. For a 95% confidence level, the Z-value is 1.96.
What if I want to calculate a confidence interval for a proportion?
For a proportion, the formula is:
CI = p ± (Z * √(p(1-p)/n))
Where p is the sample proportion. Would you like to see an example?
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