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?

Question

Mathematics

River

27 May, 14:43

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?

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Answers (2)

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Marco Beasley · Answer 1

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

Step-by-step 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.

Shiloh Leon · Answer 2

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%.