객관식
Which of the following hypotheses is not an appropriate form for an alternative hypothesis in hypothesis testing?
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9. Hypothesis Testing for One Sample
Steps in Hypothesis Testing
객관식
Which of the following is not true for a hypothesis test for correlation?
A
The test statistic is often based on the sample correlation coefficient .
B
The test can be used to determine if one variable causes changes in the other variable.
C
The null hypothesis typically states that the population correlation coefficient is equal to zero.
D
A significant result indicates that there is a linear relationship between the two variables in the population.
검증된 단계별 안내1
Step 1: Understand the purpose of a hypothesis test for correlation. It is used to determine whether there is evidence of a linear relationship between two variables in the population, based on the sample data.
Step 2: Recall that the test statistic for correlation is typically based on the sample correlation coefficient \(r\), which measures the strength and direction of the linear relationship between two variables.
Step 3: Know the null hypothesis (\(H_0\)) in this test usually states that the population correlation coefficient \(\rho\) is zero, meaning no linear relationship exists between the variables.
Step 4: Recognize that a significant test result suggests there is a linear relationship between the two variables in the population, but it does not imply causation.
Step 5: Therefore, the statement that the test can be used to determine if one variable causes changes in the other variable is not true, because correlation does not imply causation.
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