A psychologist claims that more than 6.4% of the population suffers from professional problems due to extreme shyness.Identify the Type II error in this context.
A)The error of rejecting the claim that the true proportion is at most 6.4% when it really is at most 6.4%.
B)The error of accepting the claim that the true proportion is more than 6.4% when it really is more than 6.4%.
C)The error of rejecting the claim that the true proportion is more than 6.4% when it really is more than 6.4%.
D)The error of failing to accept the claim that the true proportion is at most 6.4% when it is actually more than 6.4%.
E)The error of failing to reject the claim that the true proportion is at most 6.4% when it is actually more than 6.4%.

Question

Quizplus · Accepted Answer

Type II error is failing to reject a false null hypothesis. In this context, the null hypothesis would be that the proportion who suffer from professional problems due to extreme shyness is equal to or less than 6.4%. The psychologist claims that the true proportion is greater than 6.4%, so if we fail to reject the null hypothesis (i.e. we do not find enough evidence to conclude that the true proportion is greater than 6.4%), it would be a Type II error. Choice E is the only one that describes this error.

A Psychologist Claims That More Than 6