Ted wanted to determine if one brand of paper towels (Brand A) was stronger than

Question

Ted wanted to determine if one brand of paper towels (Brand A) was stronger than another brand (Brand B). He performed a study where he randomly selected 25 sheets from each of the two brands, placed each sheet in an embroidery hoop (and tightened the hoop), placed 30 drops of water on each paper towel, and placed weights on each sheet until the sheet broke. He recorded the maximum weight on the paper towel before it broke. Suppose the null hypothesis was not rejected at a significance level of 0.01. The power of the test was 0.90. What type of error could be made and what is the probability of making that error?

Explanation / Answer

When we do not reject Ho then there is a possibility of Type II error because type II error represents the probability of not rejecting the null hypothesis when it is false.

Here our decision is not to reject the null hypothesis so Type II error can be made.

Also,

Probability of type II error

= 1 - Power of the test

= 1 - 0.90

= 0.10

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