Ask Question
23 July, 07:33

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 β, the probability of a Type II error in this scenario?

+1
Answers (2)
  1. 23 July, 08:08
    0
    The Type II error is defined as the probability of not rejecting a null hypothesis, when the hypothesis is actually false.

    In the case of this problem, this would be the probability of the store thinking that 70% or more of its clients shop only at their store, but the actual percentage of clients that don't shop at other store is lower.
  2. 23 July, 10:31
    0
    See explanation

    Step-by-step explanation:

    Given:

    - H_0 : Claim that at least 70% of its customers do not shop at any other sporting goods stores

    - H_1: less than 70% of its customers do not shop at any other sporting goods stores.

    Find:

    What is β, the probability of a Type II error in this scenario?

    Solution:

    - The type II Error is the probability of the Null hypothesis to be correct but in fact in reality the claim of Null hypothesis is wrong!

    - In our case the type II error or the value of B would be:

    Answer:

    the probability that the sporting goods store thinks that at least 70% of its customers do not shop at any other sporting goods stores when, in fact, less than 70% of its customers do not shop at any other sporting goods stores
Know the Answer?
Not Sure About the Answer?
Find an answer to your 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 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers