Question

Suppose a 95% confidence interval for a population proportion is (0.30, 0.60). Rewrite this interval in the form of p^ ± margin of error.

a) p^ ± 0.15
b) p^ ± 0.45
c) p^ ± 0.30
d) p^ ± 0.60

Answer 1

The confidence interval (0.30, 0.60) can be rewritten as p^ ± 0.15.

Step-by-step explanation:

The given 95% confidence interval for a population proportion is (0.30, 0.60). To rewrite this interval in the form of p^ ± margin of error, we need to find the point estimate (p^) and the error bound. The point estimate is the midpoint of the interval, which is given by (0.30 + 0.60) / 2 = 0.45. The error bound is half the width of the interval, which is (0.60 - 0.30) / 2 = 0.15.

Therefore, the confidence interval in the form of p^ ± margin of error is 0.45 ± 0.15.