Question

the following data were collected from a random sample of people, who identified their favorite type of juice. the results are shown in the following two-way table. orange grape cranberry apple total adults 600 500 50 150 1,300 children 400 100 50 150 700 total 1,000 600 100 300 2,000 what proportion of the children identified orange as their favorite type of juice? responses 400 over 1000 400 over 700

Answer 1

Around 57.14% of the children surveyed identified orange as their favorite type of juice, which is calculated by dividing the number of children who prefer orange juice (400) by the total number of children surveyed (700).

Step-by-step explanation:

The question asks what proportion of children identified orange as their favorite type of juice, using data from a two-way table. To find this, we look at the number of children who chose orange juice and divide it by the total number of children surveyed.

According to the table, 400 children chose orange juice. There were 700 children surveyed in total. Therefore, to find the proportion of children who prefer orange juice, we calculate:

Proportion of children preferring orange juice = Number of children preferring orange juice / Total number of children surveyed

Proportion = 400 / 700

This simplifies to approximately 0.5714, or 57.14% when expressed as a percentage. So, 57.14% of the children surveyed identified orange as their favorite type of juice.