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Lesson 3.2: Z-test and Z-statistics

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Questions and Answers

What is the function of a critical value in hypothesis testing?

Defining the threshold of statistical significance in a statistical test.

Determining the upper and lower bounds of a confidence interval.

Identifying if the result is statistically significant for the null hypothesis to be rejected. (correct)

Measuring the probability of obtaining observed results.

How is the decision to reject the null hypothesis made based on the test statistic?

If the p-value is greater than α.

If the computed value of the test statistic falls into the critical (rejection) region. (correct)

If the observed test statistic falls into the critical region.

If the p-value is less than or equal to a specified level of significance α.

What is the purpose of a p-value in hypothesis testing?

Measuring the probability of obtaining observed results assuming the null hypothesis is true. (correct)

Defining the upper and lower bounds of a confidence interval.

Determining the threshold of statistical significance in a statistical test.

Identifying if the result is statistically significant for the null hypothesis to be rejected.

When is the null hypothesis rejected based on the p-value?

If the p-value is less than or equal to a specified level of significance α. Signup and view all the answers

What is another term for the critical region in hypothesis testing?

Rejection region Signup and view all the answers

What type of distribution does the z-statistic follow in a z-test?

Normal distribution Signup and view all the answers

When is a z-test considered best to be used?

For sample sizes greater than 30 Signup and view all the answers

What does a z-score represent?

The number of standard deviations above or below the mean population Signup and view all the answers

In what type of test are t-tests best performed?

For small sample sizes Signup and view all the answers

What is the measurement of statistical significance in hypothesis testing?

Level of significance Signup and view all the answers