Question

In constructing a confidence interval estimate for the difference between two population proportions, we: A. never pool the population proportions B. pool the population proportions when the populations are normally distributed C. pool the population proportions when they are equal D. pool the population proportions when the population means are equal The ratio of two independent chi-squared variables divided by their degrees of freedom is: A. normally distributed B. Student t-distributed C. F-distributed D. chi-squared distributed

Answer 1

Solution-:

1) In constructing a confidence interval estimate for the difference between two population proportions pool the population proportions when the populations are normally distribute.

Option (B)  pool the population proportions when the populations are normally distributed is correct.

2) Defination of F-Distribution: Suppose U and V are independent chi square random variables with and degree of freedom respectivley then is said to folls Snedencor's F-distribution with parameters   and .

The ratio of two independent chi-squared variables divided by their degrees of freedom is F-distributed

Option (C)  F-distributed