Assume that a hypothesis test of the given claim will be conducted. Identify the

Question

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A psychologist claims that more than 2.4% of adults suffer from extreme shyness. Identify the type II error for the test. A) Reject the claim that the percentage of adults who suffer from extreme shyness is equal to 2.4% when that percentage is actually greater than 2.4%. B) Fail to reject the claim that the percentage of adults who suffer from extreme shyness is equal to 2.4% when that percentage is actually less than 2.4%. C) Reject the claim that the percentage of adults who suffer from extreme shyness is equal to 2.4% when that percentage is actually 2.4%. D) Fail to reject the claim that the percentage of adults who suffer from extreme shyness is equal to 2.4% when that percentage is actually greater than 2.4%.

Explanation / Answer

Ans:

Null hypothesis:

H0:p=0.024

Alternate hypothesis:

H1:p>0.024

Type II error:

When the null hypothesis is false and you fail to reject it, you make a type II error.

So,we will make type II error,when actually more than 2.4% of adults suffer from extreme shyness i.e not equal to 2.4% and we fail to reject the null hypothesis.

Hence,Option D is correct.

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