It's a one-sided hypothesis test with the null hypothesis stating that right wrists have greater diameter than left wrists, based on the conjecture. The correct choice is (a).
This scenario involves a one-sided hypothesis test (choice a). The conjecture suggests that a person's right wrist typically has a greater diameter due to the increased use of the right hand. In a one-sided test, the null hypothesis would state that there is no significant difference, while the alternative hypothesis asserts that the right wrist is larger.
This design focuses on detecting an increase rather than a difference in either direction, aligning with the idea that the majority favor their right hand. A two-sided test (choices b and c) would be appropriate if the hypothesis was more general, without specifying the direction of the difference.
The complete question is:
Suppose we have a dataset containing a number of body measurements from a population of people. Each record in the dataset contains all of the body measurements from a single person. We wish to follow up on the conjecture that typically a person's right wrist will be greater in diameter than his or her left wrist because of the larger amount of use of the right hand by the majority of people. Group of answer choices
a. This is a one-sided hypothesis test. The null hypothesis is that right wrists are larger in diameter.
b. This is a two-sided hypothesis test. The null hypothesis is that right wrists are larger in diameter.
c. This is a two-sided hypothesis test. The null hypothesis is that both wrists are the same.
d. This is a one-sided hypothesis test. The null hypothesis is that both wrists are the same.