I If There Are Only Two Cells in a Goodness-Of-fiT

question 116

Multiple Choice

i. If there are only two cells in a goodness-of-fit test, we should expect 5 or more frequencies.
ii. Chi-square goodness-of-fit test is the appropriate statistical test to use when you wish to
Determine how well an observed set of data fits an expected set of data.
iii. The null hypothesis in the goodness-of-fit test is that there is no difference.

• 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) (i), (ii), and (iii) are all false statements.

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Definitions:

Two-tailed Test

A two-tailed statistical hypothesis test that examines if a sample falls outside a specific range of values, testing for both exceeding and falling short of this range.

Expected Value

The mean value of a random variable, computed by multiplying each possible value by its probability and summing up these products.

Test Statistic

A value calculated from sample data during a hypothesis test used to determine the likelihood of the null hypothesis being true.

Critical Value(s)

The thresholds in statistical hypothesis testing that define the boundary or boundaries for rejecting the null hypothesis.