A market analyst creates a taste test to be conducted in a local shopping mall. The experiment asks 500 participants to select which of 2 soft drinks they prefer. The drinks are the same color and in similar cups. Participants record their preferred drink on a ballot and place it in a box. They are not told which drink they select. Based on national sales data, the analyst expects 65% of participants to select Soft Drink B. Of the 500 participants, 72% select Soft Drink B.
What can you conclude about this experiment? Help please !
The analyst expects 325 participants to select Soft Drink B.
The experiment is not binomial because later participants know which drink earlier ones preferred.
The experiment is binomial because there are 2 choices, 500 trials, and each participant is an independent trial.
The analyst expects 275 participants to select Soft Drink A.
There are 140 participants that select Soft Drink A.
The national sales data are accurate in predicting sales of Soft Drink B.
Well, well, it seems like Soft Drink B is a hit among the taste testers! With 72% of them choosing it, we can definitely say that it's the crowd favorite in this experiment. However, we can't entirely rely on the national sales data, as it predicted only 65% of participants to choose Soft Drink B. It looks like this taste test brought some surprising results!
Based on the information provided, we can conclude that the experiment is not binomial because later participants know which drink earlier ones preferred. The experiment is binomial if there are only 2 choices, 500 trials, and each participant is an independent trial. However, in this case, the later participants can be influenced by the choices of earlier participants as they are aware of which drink they preferred.
Therefore, the correct conclusion would be: The experiment is not binomial because later participants know which drink earlier ones preferred.
In this experiment, 72% (which is 360 participants) selected Soft Drink B instead of the expected 65% (which is 325 participants) based on national sales data. From this data, we can conclude that the national sales data were not accurate in predicting the preference for Soft Drink B among the participants in the taste test.
However, it is important to note that the experiment is not binomial because participants are not completely independent of each other. The later participants might be influenced by the choices made by earlier participants since they are not told which drink they selected.
So, to summarize:
- The national sales data were not accurate in predicting the preference for Soft Drink B.
- The experiment is not binomial due to potential influence between participants.
- The experiment does show that 140 participants selected Soft Drink A.