Hypothesis Testing and Statistics Worksheet

• Keeping a broken machine running.

• Shutting down a machine that was actually working perfectly.

• Ignoring a machine that is producing defective parts.

• Fixing a machine that was already known to be broken.

• Entirely in the left tail.

• 0.005 in both the left and right tails combined.

• Entirely in the right tail.

• Distributed evenly across the center of the curve.

• The Rejection Region becomes smaller.

• The probability of committing a Type I error increases.

• The probability of committing a Type II error increases.

• The Null Hypothesis is automatically proven true.

• The statement of "no difference" or the status quo.

• The probability of making a Type II error.

• The claim that the researcher aims to support with evidence.

• The value that always equals the sample mean.

If a researcher is conducting a left-tailed Z-test at α = 0.05 (Critical Value z = -1.65), which computed test statistic leads to the rejection of H_0?

• Any computed test statistic less than -1.65 leads to the rejection of H_0.

• Any computed test statistic greater than -1.65 leads to the rejection of H_0.

• Any computed test statistic equal to -1.65 leads to the rejection of H_0.

• Any computed test statistic greater than 1.65 leads to the rejection of H_0.

A Type II error occurs when:

• We accept the Alternative Hypothesis when it is true.

• The sample size is larger than the population.

The "Rejection Region" is determined primarily by:

• The sample mean and standard deviation.

• The total points available on the test.

• The name of the statistical software used.

• In the right tail.

• In the left tail.

• In both tails.

• At the center of the curve.

Which of the following is a mathematically valid Null Hypothesis?

• $H_0: u \neq 100$