Question

Express the confidence interval 27.5% <p< 42.7% in the form of ˆp±ME.

______% ± % _______

Answer 1

Solution:

Given that,

Lower confidence interval = 27.5% = 0.275

Upper confidence interval = 42.7% = 0.427

Point estimate = (Lower confidence interval + Upper confidence interval )/2

      = ( 0.275 + 0.427 )/2

    = 0.702 / 2

   = 0.351

Margin of error E = Upper confidence interval -

= 0.427 - 0.351

= 0.076

In the form of

ME

0.351 0.076

35.1% 7.6%