Question

Which statement is the appropriate way to refer to the 90% confidence interval

(i}         There is a 90% probability the population proportion is in the calculated confidence interval.

(ii}        There is a 90% probability the calculated confidence interval contains the population proportion.

(ii}        There is a 90% probability the sample proportion (point estimate) is in the calculated confidence interval.

(iv}       There is a 90% probability the calculated confidence interval contains the sample proportion (point estimate.)

Answer 1

When we say about confidence interval that means, we are saying about population parameters. So sample statistic are not coming here.

So, option (iii) and (iv) are not correct option.

Defination of confidence interval::

A confidence interval is a range of values that will contain a true value of population parameter (e.g, mean ) with a certain probability.

so, option (ii) is correct answer

i.e, There is a 90% probability the calculated confidence interval contains the population proportion.