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. Which of the following would result in a Type II​ error? Choose the correct answer below. A. Ted found that neither brand of paper towels was stronger than the other when in fact one was stronger. B. Ted found that brand A was stronger in some cases while brand B was stronger in other casesdashit all depended on who was placing the weights on the paper towels. C. Ted found that one brand of paper towels was stronger than the other when in fact neither was stronger. D. Ted found that neither brand of paper towels was stronger than the other when neither really was stronger than the other. E. Ted found that one brand of paper towels was stronger than the other when one really was stronger than the other.

Answer 1

type II error means failure to reject the false null hypothesis

Null hypothesis in this case would be that one brand of paper towels​ (Brand A) was equal to another brand​ (Brand B).

False null hypothesis means that one brand of paper towels​ (Brand A) was stronger than another brand​ (Brand B)

So, type II error will be concluding that one brand of paper towels​ (Brand A) was equal to another brand​ (Brand B), when in fact one brand of paper towels​ (Brand A) was stronger than another brand​ (Brand B)

option A is correct