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Which of the Following Statements Are Not Always True?
A) θ\theta

Question 3

Multiple Choice

Which of the following statements are not always true?


A) It is necessary to know the true value of the parameter θ\theta
To determine whether the estimator θ^\hat { \theta }
Is unbiased.
B) When X is a binomial random variable with parameters n and p, the sample proportion p^=X/n\hat { p } = X / n
Is an unbiased estimator of p.  Which of the following statements are not always true? A)  It is necessary to know the true value of the parameter  \theta  To determine whether the estimator  \hat { \theta }  Is unbiased. B)  When X is a binomial random variable with parameters n and p, the sample proportion  \hat { p } = X / n  Is an unbiased estimator of p.   C)  When choosing among several different estimators of parameter  \theta  , select one that is unbiased. D)  All of the above statements are not always true.
C) When choosing among several different estimators of parameter θ\theta
, select one that is unbiased.
D) All of the above statements are not always true.

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