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.
What is the value of n A p A ?
What is the value of n A ( 1 − p A ) ?
What is the value of n B p B ?
What is the value of n B ( 1 − p B ) ?
Is the shape of the sampling distribution approximately Normal?
____, these values _____ all at least 10.
Answer:
6 ; 24 ; 5.4 ; 24.6
Step-by-step explanation:
Given that:
Number of samples from each high school = 30
Proportion of students from high school A = 20%
Proportion of students from high school B = 18%
Number of sample A ; n(A) = 30
Proportion of sample A ; p(A) = 0.20
Number of sample B ; n(B) = 30
Proportion of sample B ; p(B) = 0.18
1.)
n(A).p(A) = 30 * 0.20 = 6
2.)
n(A). (1 – p(A))
30 * (1 – 0.20)
30 * 0.8 = 24
3.)
n(B).p(B) = 30 * 0.18 = 5.4
4.)
n(B). (1 – p(B))
30 * (1 – 0.18)
30 * 0.82
= 24.6
Shape of sampling distribution is not approximately normal ;
Both nApA and nBpB are < 10