Final answer:
The sample size cannot be determined solely on whether events are independent or dependent, as it is influenced by the study's goals. Both independent and dependent events can have varying sample sizes, and a larger sample size generally leads to more reliable statistics.
Step-by-step explanation:
The question of whether independent events or dependent events would have a larger sample size can be somewhat misleading because the size of a sample is determined by the objectives of the study or the experiment rather than the nature of the events themselves. The sample size would not inherently be affected by whether events are independent or dependent. Thus, the appropriate answer to this question is that sample size cannot be determined merely based on whether events are independent or dependent.
It is important to note that whether you are dealing with independent or dependent events, having a larger sample size tends to reduce sampling variability, making for more reliable statistics. In the context of dependent events, the sample data might be paired or matched, as in before-and-after studies, or could involve a sequence where the outcome of one event affects the next event. This type of dependency does not necessarily change the sample size itself.