Hypothesis Testing Quiz

Which of the following is the first step in the traditional method of hypothesis testing?

• Compute the test statistic

• Determine the critical value

• Formulate the null and alternative hypotheses

• Make a decision to reject or fail to reject the null hypothesis

What is the purpose of the alternative hypothesis in hypothesis testing?

• To state that there is no effect or no difference

• To provide a claim that contradicts the null hypothesis

• To calculate the p-value for the test

• To determine the sample size needed for the test

In hypothesis testing, what does the null hypothesis (H₀) represent?

• The claim being tested that assumes no effect or no difference

• The claim that contradicts the null hypothesis

• The calculated probability of making an error

• The critical region where rejection occurs

What is the correct order of the traditional hypothesis testing steps?

• Compute the test statistic → Formulate hypotheses → Find critical value → Make a decision

• Formulate hypotheses → Select significance level → Compute test statistic → Compare with critical value → Make a decision

• Compute test statistic → Select significance level → Formulate hypotheses → Find critical value → Make a decision

• Select significance level → Formulate hypotheses → Compute test statistic → Find critical value → Make a decision

When is the Z-test appropriate for hypothesis testing?

• When the population standard deviation is unknown and the sample size is small

• When the sample size is large (n ≥ 30) and/or the population standard deviation is known

• When comparing more than two population means

• When testing for relationships between categorical variables

In hypothesis testing, how is the critical value determined?

• By calculating the mean and standard deviation of the sample

• By checking the significance level in a statistical table

• By comparing the test statistic with the sample data

• By computing the probability of a Type II error

If the test statistic falls within the critical region, what decision should be made?

• Fail to reject the null hypothesis

• Accept the null hypothesis

• Reject the null hypothesis

• Increase the sample size and test again

What does it mean if the test statistic does not fall in the critical region?

• The null hypothesis is rejected

• There is insufficient evidence to reject the null hypothesis

• The test must be redone with a larger sample size

• The alternative hypothesis is automatically true

Under what condition do you reject the null hypothesis in the traditional method?

• When the test statistic falls outside the critical region

• When the p-value is greater than the level of significance

• When the test statistic falls within the critical region

• When the sample mean is equal to the population mean

What is the final step in the traditional method of hypothesis testing?

• Compare the test statistic with the critical value

• Compute the standard deviation

• Make a decision and state the conclusion

• Determine the p-value