Suppose that 20% of students at high school A and 18% of students at high school B particpate on a school athletic team. Independent random samples of 30 students from each school are selected and are asked If they participate on a school athletic team. Let ^PA represent the same proportion of students at school A who participate on a school athletic team and let ^PB represent the sample proportion of students at school B who particpate on a school athletic team. A. Find the mean of the sampling distribution of ^PA - ^PB. B. Calculate and Interpret the standard deviation of the sampling distribution. Verify that the 10% condition Is met. C. Is the shape of the sampling
Suppose that 20% of students at high school A and 18% of students at high school B particpate on a school athletic team. Independent random samples of 30 students from each school are selected and are asked If they participate on a school athletic team. Let ^PA represent the same proportion of students at school A who participate on a school athletic team and let ^PB represent the sample proportion of students at school B who particpate on a school athletic team.
A. Find the mean of the sampling distribution of ^PA - ^PB.
B. Calculate and Interpret the standard deviation of the sampling distribution. Verify that the 10% condition Is met.
C. Is the shape of the sampling distribution approimately Normal? Justify your answer.
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