Question

In this exercise, data from a sample is being used to estimate something about a population.

Random samples of people in Canada and people in Sweden are used to estimate the difference between the two countries in the proportion of people who have seen a hockey game (at any level) in the past year.

Let group 1 be people from Canada and group 2 be people from Sweden.

Give notation for the quantity that gives the best estimate. Your answer should be an expression composed of symbols:

Answer 1

(1)

Point Estimate of the difference between the two countries in the proportion of people who have seen a hockey game:

,

where

= Sample proportion of people who have seen a hockey game of Canada

= Sample proportion of people who have seen a hockey game of Sweden

(2)

Interval Estimate of the difference between the two countries in the proportion of people who have seen a hockey game:

where

is the critical value of Z at significance level

and

SE = Standard Error given by:

where n1 and n2 are the sample sizes of group 1 group 2 respectively.