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

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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.

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  1. 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

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