Question

In two sample surveys, 125 people were asked about

their favorite fruit. In the first survey, 40 people chose
apples, 64 chose oranges, and 21 chose bananas. In the
second, 43 chose apples, 63 chose oranges, and 19
chose bananas. Marianne inferred that most people
prefer oranges. Is this inference true based on the data?

Answer 1

To determine if Marianne's inference is true based on the given data, we need to compare the number of people who chose oranges in each survey to the total number of people surveyed.

In the first survey, 64 people chose oranges out of a total of 125 people surveyed:
64/125 = 0.512 or 51.2%

In the second survey, 63 people chose oranges out of a total of 125 people surveyed:
63/125 = 0.504 or 50.4%

Based on these calculations, we can see that the proportion of people who chose oranges in each survey is fairly similar. Therefore, we cannot infer that most people prefer oranges based on this data alone.

It's also worth noting that this conclusion assumes that the two surveys are representative of the same population and that the samples were chosen randomly. Without additional information on the sampling methods and the populations being surveyed, it's difficult to draw strong conclusions from these data alone.

Answer 2

Answer: Yes this is true.

Explanation:

In the first survey 64 people chose oranges and in the second survey 63 people chose oranges. This means in the first survey 51.2% of people preferred oranges and 48.8% preferred other fruits, and in the second survey 50.4% of people preferred oranges while 49.6% preferred other fruits. In both surveys more than 50% of people preferred oranges. So yes, based on the data from both surveys you can infer that most people prefer oranges.