Question

Use the given confidence interval limits to find the point estimate ModifyingAbove p with caretp and the margin of error E. 0.508 less than p less than 0.5560.508

Answer 1

Given confidence interval is 0.508 < p < 0.556

We express confidence interval in terms of and E as

- E < p < + E

Comparing this confidence interval with given above,

- E = 0.508 and + E = 0.556

Add these two equations we get,

- E + + E = 0.508 + 0.556

2 = 1.064

= 0.532

Put this value of in equation + E = 0.556 and solve for E , we get

0.532 + E = 0.556

E = 0.024

Therefore,

= 0.532 and E = 0.024