Flashcardziz for Start of Unit 4

Front

What is a two-tailed hypothesis test?

Back

A two-tailed hypothesis test is a statistical test that determines whether a sample mean is significantly greater than or less than a population mean. It tests for the possibility of an effect in two directions.

Front

What is the symbol for the alternative hypothesis?

Back

The symbol for the alternative hypothesis is H₁ or Ha.

Front

What is a left-sided hypothesis test?

Back

A left-sided hypothesis test is a statistical test that determines if a sample mean is significantly less than a population mean. It tests for the possibility of an effect in one direction (to the left).

Front

What is the critical value for a right-tailed hypothesis test with \(\alpha=0.05\) and \(n=19\)?

Back

The critical value is 1.734.

Front

What is the critical value for a left-tailed hypothesis test with \(\alpha=0.01\) and \(n=60\)?

Back

The critical value is -2.326.

Front

Define the null hypothesis (H₀).

Back

The null hypothesis (H₀) is a statement that there is no effect or no difference, and it serves as the default assumption in hypothesis testing.

Front

What does \(\alpha\) represent in hypothesis testing?

Back

\(\alpha\) represents the significance level, which is the probability of rejecting the null hypothesis when it is true. Common values are 0.05, 0.01, and 0.10.

Front

What is a rejection region in hypothesis testing?

Back

The rejection region is the range of values for which the null hypothesis is rejected. It is determined by the critical value(s) based on the significance level.

Front

Explain the difference between one-tailed and two-tailed tests.

Back

One-tailed tests assess the possibility of an effect in one direction, while two-tailed tests assess the possibility of an effect in both directions.

Front

What is the purpose of hypothesis testing?

Back

The purpose of hypothesis testing is to make inferences about a population based on sample data, determining whether to reject or fail to reject the null hypothesis.