Question 10 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A restaurant is introducing a new gluten-free recipe for the topping in its baked zucchini recipe. The chef will continue to use this topping if less than 8% of her customers complain about the new taste. Using a random sample of customers, she conducts a hypothesis test with H0: The complaint rate is 8%, and Ha: The complaint rate is less than 8%. What is a Type II error and its consequence in this context?
Answer
A
The chef believes the complaint rate is less than 8%, when in fact it is not less than 8%. The chef would not use the new recipe, potentially losing customers who need gluten-free menu options.
B
The chef believes the complaint rate is less than 8%, when in fact it is not less than 8%. The chef continues to use the new recipe but experiences a large number of unsatisfied customers.
C
The chef believes the complaint rate is not less than 8%, when in fact it is less than 8%. The chef continues to use the new recipe but experiences a large number of unsatisfied customers.
D
The chef believes the complaint rate is not less than 8%, when in fact it is less than 8%. The chef would not use the new recipe, potentially losing customers who need gluten-free menu options.