26) Suppose that 20% of students at high school A and 18% of students at high school B participate on a school athletic team.
Independent random samples of 30 students from each school are selected and asked if they participate on a school athletic team. Let P, represent the sample proportion of students at school A who participate on a school athletic team and Pa represent the sample proportion of students at school B who participate on a school athletic team.

26 Suppose that 20 of students at high school A and 18 of students at high school B participate on a school athletic team Independent random samples of 30 stude class=

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Answer::a. E( - ) = E() - E() = 0.2 - 0.18 = 0.02 The mean of the sampling distribution of  -  is 0.02 b. Var( - ) = Var() + Var()          ( and  are independent.