I If the Critical Values of the Test Statistic Z $\pm$

question 23

Multiple Choice

i. If the critical values of the test statistic z are $\pm$ 1.96, they are the dividing points between the areas of rejection and non-rejection. ii. The probability of a Type I error is also referred to as alpha.
iii. A Type I error is the probability of rejecting a true null hypothesis.

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

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, describing how much individual data points differ from the mean.

Sample Mean

The average of a set of numerical values drawn from a sample of a population, used as an estimate of the population mean.

Margin Of Error

The amount of error that can be tolerated in the results of a poll or survey, indicating the potential deviation from the true population parameter.

Confidence Interval

A spectrum of numbers, extracted from sample observations, presumed to hold the value of a not yet identified population characteristic.