Question

Lucy Baker is analyzing demographic characteristics of two television programs: COPS (population 1) and 60 Minutes (population 2). Previous studies indicate no difference in the ages of the two audiences. (The mean age of each audience is the same.) Lucy plans to test this hypothesis using a random sample of 100 from each audience.
A) Her alternate hypothesis is __________.

Answer 1

Answer and Explanation:

Her alternative hypothesis is that there is some difference between the means of the ages of the audiences of the two television programs. That is, the mean ages of the two audiences are not the same.

If the mean of the ages of the audiences of television programme 1 (COPS) is xbar₁

And the mean of the ages of the audiences of the television programme 2 (60 minutes) is xbar₂

Her alternative hypothesis can be represented mathematically as

xbar₁ - xbar₂ ≠ 0