I for a Goodness-Of-Fit Test, the Number of Degrees of Freedom

question 18

Multiple Choice

i. For a goodness-of-fit test, the number of degrees of freedom is determined by k - 2, where k is the number of categories.
Ii) The sum of the expected frequencies in a goodness-of-fit test need not equal the sum of the observed frequencies.
Iii) A goodness-of-fit test is a nonparametric test involving a set of observed frequencies and a corresponding set of expected frequencies.

• A) (i), (ii) and (iii) are all correct statements
• B) (i) and (ii) are correct statements, but not (iii).
• C) (i) and (iii) are correct statements but not (ii).
• D) (ii) and (iii) are correct statements but not (i).
• E) (iii) is a correct statement, but (i) and (ii) are false.

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Definitions:

Confidence Interval

A series of values, yielded by sample statistical study, thought to encompass the value of an unrevealed population parameter.

Confidence Intervals

A sequence of values, garnered from samples, anticipated to cover the value of a yet-to-be-discovered population parameter.

Sampling Distribution

The probability distribution of a given statistic based on a random sample.

Central Limit Theorem

A statistical theory that states that the sampling distribution of the sample mean will approach a normal distribution as the sample size becomes larger, regardless of the shape of the population distribution.