Question

students at a japanese immersion school must study one of the traditional art forms of japan. a random sample of 50 students from the school are asked which traditional art form they study. the results of the survey are shown in the table. determine if each inference is valid or not valid. (when an inference is valid, the statement is reasonable or correct based on the given information.) valid not valid about 40% of students at the school study flower arranging. approximately 14 students at the school study the tea ceremony.

Explanation:

Step1: Calculate the percentage of students who study flower arranging

The formula for percentage is $\frac{\text{Frequency of flower arranging}}{\text{Total sample size}}\times100\%$.
Substitute the values: $\frac{12}{50}\times100\% = 24\%$, not $40\%$.

Step2: Analyze the statement about tea - ceremony students

The sample has 50 students and 14 of them study tea ceremony. But we don't know the total number of students in the school. We can't say approximately 14 students in the whole school study tea ceremony (it's 14 in the sample of 50).

Answer:

1. Not Valid
2. Not Valid