a restaurant is introducing a new gluten - free recipe for the topping in its baked zucchini recipe. the…

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 $h_0$: the complaint rate is 8%, and $h_a$: the complaint rate is less than 8%. what is a type i error and its consequence in this context?\no 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.\no 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.\no 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.\no 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.

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 $h_0$: the complaint rate is 8%, and $h_a$: the complaint rate is less than 8%. what is a type i error and its consequence in this context?\no 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.\no 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.\no 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.\no 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.

Answer

Brief Explanations:

A Type I error occurs when we reject the null hypothesis ($H_0$) when it is actually true. Here, $H_0$ is that the complaint rate is 8%. So a Type - I error is when the chef believes the complaint rate is less than 8% (rejects $H_0$) when in fact it is not less than 8%. The consequence is that the chef would not use the new recipe, potentially losing customers who need gluten - free menu options.

Answer:

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.