Four Tests of Significance Were Conducted on the Same Set

question 21

Multiple Choice

Four tests of significance were conducted on the same set of results: For test 1: alpha = 0.05, two-tailed test.
For test 2: alpha = 0.10, one-tailed test.
For test 3: alpha = 0.01, two-tailed test.
For test 4: alpha = 0.01, one-tailed test.
Which test is most likely to result in a rejection of the null hypothesis?

• A) Test 1
• B) Test 2
• C) Test 3
• D) Test 4

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Definitions:

Variance

A measure of the dispersion or spread of a set of data points, indicating how much they differ from the mean.

Range

The difference between the highest and lowest values in a data set, indicating the spread or dispersion of the set.

Chebyshev's Theorem

A statistical theorem that gives an inequality for assessing the probability that a random variable differs from its mean.

Empirical Rules

A statistical rule stating that for a normal distribution, nearly all data will fall within three standard deviations of the mean.