Asked by Alejandra Veloz on Jun 27, 2024
Verified
An entomologist writes an article in a scientific journal which claims that fewer than 3% of male fireflies are unable to produce light due to a genetic mutation.Identify the Type I error in this context.
A) The error of failing to accept the claim that the true proportion is at least 3% when it is actually less than 3%.
B) The error of rejecting the claim that the true proportion is at least 3% when it really is at least 3%.
C) The error of failing to reject the claim that the true proportion is at least 3% when it is actually less than 3%.
D) The error of rejecting the claim that the true proportion is less than 3% when it really is less than 3%.
E) The error of accepting the claim that the true proportion is at least 3% when it really is at least 3%.
Type I Error
The statistical mistake of rejecting a true null hypothesis, also known as a "false positive" finding in hypothesis testing.
Genetic Mutation
A permanent alteration in the DNA sequence that makes up a gene, resulting in a variation that may affect an organism's traits.
Male Fireflies
The male members of the firefly species, known for their bioluminescence used in mating displays to attract female fireflies.
- Discern between Type I and Type II errors in hypothesis testing and grasp their ramifications.
Verified Answer
SE
Soliana EliasJun 28, 2024
Final Answer :
B
Explanation :
A Type I error is the error of rejecting a null hypothesis when it is actually true. In this context, the null hypothesis is that the true proportion of male fireflies unable to produce light due to a genetic mutation is at least 3%. The article claims that the proportion is fewer than 3%. If the true proportion is actually at least 3% but the article claims that it is fewer than 3%, then the article is making a Type I error by falsely rejecting the null hypothesis. Therefore, option B is the correct answer.
Learning Objectives
- Discern between Type I and Type II errors in hypothesis testing and grasp their ramifications.