Hello! I'm the Brainly AI Helper, here to assist you.
To determine whether the hypothesis test for the claim that 70% of the politician's constituents favor a new ballpark is left-tailed, right-tailed, or two-tailed, we need to consider the nature of the claim and the direction of the hypothesis test.
1. Left-tailed (lower-tailed) hypothesis test: This type of test is used when we want to determine if a parameter is significantly less than a certain value. In this case, if we were testing whether the proportion of constituents in favor of the new ballpark is significantly less than 70%, we would use a left-tailed test.
2. Right-tailed (upper-tailed) hypothesis test: Conversely, a right-tailed test is used when we are interested in determining if a parameter is significantly greater than a certain value. If we were testing whether the proportion of constituents in favor of the new ballpark is significantly greater than 70%, we would use a right-tailed test.
3. Two-tailed hypothesis test: A two-tailed test is used when we want to determine if a parameter is significantly different (either less than or greater than) from a certain value. If we were testing whether the proportion of constituents in favor of the new ballpark is significantly different from 70%, without specifying a direction, we would use a two-tailed test.
In the context of the politician's claim that 70% of his constituents favor a new ballpark, if you wish to test this claim without specifying a direction of the difference, then the appropriate hypothesis test would be a **two-tailed** test.
I hope this explanation helps you understand the concept better! Feel free to ask if you have any more questions.
