Formulating Hypothesis Testing

What is the null hypothesis for a study that claims a new teaching method does not improve student performance?

• The new teaching method has no effect on student attendance.

• The new teaching method does not improve student performance.

• The new teaching method significantly improves student performance.

• The new teaching method is less effective than traditional methods.

Formulate the alternative hypothesis for the same study regarding the new teaching method.

• H1: The new teaching method decreases student performance compared to the traditional method.

• H1: The new teaching method improves student performance compared to the traditional method.

• H1: The new teaching method has no effect on student performance.

• H1: The new teaching method is equally effective as the traditional method.

If the significance level is set at 0.05, what does this imply about the probability of making a Type I error?

• 1% probability of making a Type I error.

• 10% probability of making a Type I error.

• 5% probability of making a Type II error.

• 5% probability of making a Type I error.

In a hypothesis test, if the p-value is 0.03, what does this indicate about the null hypothesis?

• The null hypothesis is definitely accepted.

• The null hypothesis is likely rejected.

• The null hypothesis is proven true.

• The p-value indicates no significant difference.

How would you interpret a p-value that is greater than the significance level in the context of hypothesis testing?

• Conclude that the alternative hypothesis is true.

• Reject the null hypothesis.

• Indicate a strong effect size.

• Fail to reject the null hypothesis.