students at a japanese immersion school must study one of the traditional art forms of japan. a random…
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.) about 40% of students at the school study flower arranging. approximately 14 students at the school study the tea ceremony. in a group of 200 students at the school, about 28 of the students study the drums.
Answer
Explanation:
Step1: Calculate proportion of flower - arranging students
The proportion of students who study flower - arranging in the sample is $\frac{12}{50}=0.24 = 24%$, not $40%$. So the first inference is not valid.
Step2: Analyze tea - ceremony students inference
The sample has 14 students studying tea - ceremony out of 50. But this is just a sample. We can't say exactly that approximately 14 students in the whole school study tea - ceremony. It's an over - generalization from the sample. So this inference is not valid.
Step3: Calculate number of drum - studying students in a larger group
The proportion of students who study drums in the sample is $\frac{7}{50}$. For a group of 200 students, the expected number is $\frac{7}{50}\times200 = 28$. So this inference is valid.
Answer:
- Not Valid
- Not Valid
- Valid