Question

Use the given data to construct a confidence interval of the requested level.
x = 91, n = 174, confidence level 98%

Answer 1

Solution :

Given that,

Point estimate = sample proportion = = x / n = 91 / 174 = 0.523

Z_/2 = 2.326

Margin of error = E = Z _{/ 2} * (( * (1 - )) / n)

= 2.326 * (((0.523 * 0.477) / 174)

= 0.088

A 98% confidence interval for population proportion p is ,

- E < p < + E

0.523 - 0.088 < p < 0.523 + 0.088

0.435 < p < 0.611

(0.435 , 0.611)