To determine the point estimate of the population proportion and the margin of error from the provided confidence interval, we first need to identify the bounds of the interval. Given that the lower bound is 0.253 and there is no specified upper bound value in your query, let’s assume the upper bound is arbitrary just for the sake of completing the example. Generally, the point estimate (p̂) can be found by taking the average of the lower and upper bounds.
If we had an upper bound (for instance, 0.30), the point estimate would be:
Point Estimate (p̂) = (Lower Bound + Upper Bound) / 2
p̂ = (0.253 + 0.30) / 2 = 0.2765
Next, the margin of error (E) can be determined using the formula:
Margin of Error (E) = (Upper Bound – Lower Bound) / 2
If we take the example upper bound of 0.30:
E = (0.30 – 0.253) / 2 = 0.0235
In conclusion, for our hypothetical upper bound example:
- Point Estimate: approximately 0.2765
- Margin of Error: approximately 0.0235
Make sure to adjust the upper bound to your actual data for precise calculations!