Answer :
Answer:
The point estimate of the difference between population proportions is [tex]\hat p_{1}-\hat p_{2}[/tex].
Step-by-step explanation:
The complete question is:
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:.
Solution:
In statistic, point estimation comprises of the use of sample data to estimate a distinct data value (known as a point estimate) which is to function as a "best guess" or "best estimate" of an unidentified population parameter.
The point estimate of the population mean (µ) is the sample mean ([tex]\bar x[/tex]).
In this case, we need to estimate the difference between the two countries in the proportion of people who have seen a hockey game in the past year.
So, the parameter to be estimated is the difference between the two proportions.
It is provided that:
1 : people from Canada
2 : people from Sweden
The point estimate of a population proportion (p) is the sample proportion ([tex]\hat p[/tex]).
So, the point estimate of the difference between population proportions (p₁ and p₂) is,
Point estimate of (p₁ - p₂) = [tex]\hat p_{1}-\hat p_{2}[/tex].
Thus, the point estimate of the difference between population proportions is [tex]\hat p_{1}-\hat p_{2}[/tex].