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 ˆ p a represent the sample proportion of students at school a who participate on a school athletic team and ˆ p b represent the sample proportion of students at school b who participate on a school athletic team.
is the 10% condition met?
because is less than 10% of all students at high school a and 30 is 10% of all students at high school b.
the standard deviation of ˆ p a − ˆ p b is approximately the difference (high school a – high school b) in the that participate on a school athletic team varies by about from the true difference in proportions of