Question

Suppose the null hypothesis, H0, is: a sporting goods store claims that at least 70% of its customers do not shop at any other sporting goods stores. What is the Type I error in this scenario?

Answer 1

Answer: The sporting goods store thinks that less than 70% of its customers do not shop at any other sporting goods stores when, in fact, at least 70% of its customers do not shop at any other sporting goods stores.

Step-by-step explanation:A Type I error is the decision to reject the null hypothesis when it is true. In this case, the Type I error is when the store thinks that less than 70% of its customers only shop at their sporting goods store when, in fact, it is at least 70%.

Answer 2

The type I error in this scenario is accepting the alternate hypothesis though it is false

Explanation:

H0: The sporting goods store claims that at 70% of its customers do not shop at any other sporting goods store.

Ha: The sporting goods store claims that at least 70% of its customers shop at other sporting goods store.

A type I error is made when the null hypothesis is rejected though it is true.

A type I error in this scenario is rejecting the sporting goods store's claim which is contained in the null hypothesis and accepting the alternate hypothesis.