Consider a Sample of N Items Obtained at a Particular $\hat { p } = X / n$

question 59

Multiple Choice

Consider a sample of n items obtained at a particular time, and let X be the number of defectives and $\hat { p } = X / n$ Which of the following statements are not true?

• A) E(X) = np
• B) V(X) = p(1-p)
• C) \(E ( \hat { p } ) = p\)
• D) \(V ( \hat { p } ) = p ( 1 - p ) / n\)
• E) If \(n p \geq 10 \text { and } n ( 1 - p ) \geq 10 , \hat { p }\)
• Has approximately a normal distribution.

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Definitions:

Karyotype

Chromosomes arranged by pairs according to their size, shape, and general appearance in mitotic metaphase.

Homologous Chromosomes

Pairs of chromosomes in a diploid organism that are similar in shape, size, and gene content, one inherited from each parent.

Autosomes

Chromosomes that are not sex chromosomes; they come in pairs of matching chromosomes and contain the bulk of an organism’s genetic material.

Chromosome Deletion

A genetic mutation where a part of a chromosome or a sequence of DNA is lost during DNA replication, which can lead to diseases or abnormalities.