Question

# 1) Give an example of a type I error. 2.     Give an example of a...

1) Give an example of a type I error.

2.     Give an example of a type II error.

3.     What type of t-test would you use when the same group is tested twice at different time points?

Solution :

1. Type I error is the "False Positive" error. For example, when a defendant is not guilty, but was declared guilty by the jury or judges. The probability of this error is denoted by Alpha.

2. Type II error is the “False Negative" error. Building on the above example, a defendant is guilty, but was declared as innocent by the jury or judges. The probability of this error is denoted by Beta.

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3. A Paired sample t-test compares means from the same group at different times (say, one year apart).
So, a paired sample t-test should be used.

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