p=0.50 the 90% confidence interval for p is?
To calculate the 90% confidence interval for a proportion (p), you need to use the following formula:
Confidence Interval = p ± (Z * √((p * (1-p)) / n))
Where:
- p is the proportion
- Z is the z-score corresponding to the desired confidence level (90% in this case)
- √ refers to the square root
- n is the sample size
To find the z-score corresponding to a 90% confidence level, you can use a standard normal distribution table or a statistical calculator. The z-score for a 90% confidence level is approximately 1.645.
Let's substitute the values into the formula:
Confidence Interval = 0.50 ± (1.645 * √((0.50 * (1-0.50)) / n))
Since you didn't provide a sample size (n), I'll assume it is 100 for demonstration purposes.
Confidence Interval = 0.50 ± (1.645 * √((0.50 * (1-0.50)) / 100))
Now you can calculate the confidence interval using the formula and the specific sample size provided.