10.4 - Test Yourself!

Question 1

True or False: If the p-value is small, then the sample statistic is a poor estimate of the population parameter.

True
The answer is False. It just says that the null hypothesis is a poor explanation of the data.
False
Correct. It just says that the null hypothesis is a poor explanation of the data.

Question 2

True or False: A p-value of 0.999 says that the null hypothesis is a reasonable explanation of the data.

True
Correct. Large p-values indicate that the null hypothesis is a plausible explanation of the data.
False
The answer is True - Large p-values indicate that the null hypothesis is a plausible explanation of the data.

Question 3

A test of hypothesis was conducted that resulted in a p-value of 0.02. This test is:

significant at the 1% level.
The answer is: Significant at the 5% level but not the 1% level.The p-value is less than 0.05 but greater than 0.01.
significant at the 5% level but not the 1% level.
Correct.The p-value is less than 0.05 but greater than 0.01.
We cannot tell without knowing the null and alternative hypothesis.
The answer is: Significant at the 5% level but not the 1% level.The p-value is less than 0.05 but greater than 0.01.
not significant at the 5% level.
The answer is: Significant at the 5% level but not the 1% level.The p-value is less than 0.05 but greater than 0.01.

Question 4

If the null hypothesis is true, then:

A significance test will never reject the null
The answer is: A significance test may still reject the null. For example, if a 5% significance level is used you will reject the null hypothesis 5% of the time even when it is true.
A significance test will be one-sided
The answer is: A significance test may still reject the null. For example, if a 5% significance level is used you will reject the null hypothesis 5% of the time even when it is true.
A significance test will be two-sided
The answer is: A significance test may still reject the null. For example, if a 5% significance level is used you will reject the null hypothesis 5% of the time even when it is true.
A significance test may still reject the null
Correct. For example, if a 5% significance level is used you will reject the null hypothesis 5% of the time even when it is true.

Question 5

The purpose of a test statistic is to:

define the null and alternative hypotheses.
The answer is: Measure the difference between the data and what is expected under the null hypothesis. A test statistic is a summary of the data used to examine differences between the data and what is expected under the null.
test whether the alternative hypothesis explains the data.
The answer is: Measure the difference between the data and what is expected under the null hypothesis. A test statistic is a summary of the data used to examine differences between the data and what is expected under the null.
measure the difference between the data and what is expected under the null hypothesis.
Correct. A test statistic is a summary of the data used to examine differences between the data and what is expected under the null.

Think about it! Section