Given the two-way relative frequency table below, which of the following statements is correct?

Autumn Winter Spring Summer Total
Male 0.10 0.08 0.11 0.16 0.45
Female 0.14 0.12 0.05 0.24 0.55
Total 0.24 0.20 0.16 0.40 1

A. The largest percentage of people surveyed chose winter as their favorite season.

B. The season of summer was chosen by a larger percentage of females than males.

C. The smallest percentage of people surveyed chose autumn as their favorite season.

D. The season of autumn was chosen by a larger percentage of males than females

And your answer is?

To determine which of the statements is correct, we need to analyze the data in the two-way relative frequency table.

A. To find the largest percentage of people surveyed who chose a specific season as their favorite, we need to look at the total percentages for each season. According to the table, the largest total percentage is for summer (0.40), and not winter (0.20). Therefore, statement A is incorrect.

B. To determine if the season of summer was chosen by a larger percentage of females than males, we compare the percentages of summer for each gender. We can see that the percentage for females who chose summer is 0.24, while for males it is 0.16. Since the percentage for females is larger, statement B is correct.

C. To identify the smallest percentage of people who chose autumn as their favorite season, we look at the percentage for autumn, which is 0.24. Comparing this with the percentages for other seasons, we can see that autumn has the largest percentage among all seasons. Therefore, statement C is incorrect.

D. To determine if the season of autumn was chosen by a larger percentage of males than females, we look at the percentages for autumn for each gender. The percentage for autumn among males is 0.10, while for females it is 0.14. Since the percentage for females is larger, statement D is incorrect.

In summary, the correct statement is B. The season of summer was chosen by a larger percentage of females than males.