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. art form frequency shodo 6 flower arranging 12 drums 7 tea ceremony 14 woodblock prints 11
Answer
Explanation:
Step1: Calculate percentage of students studying flower - arranging
The percentage of students studying flower - arranging in the sample is $\frac{12}{50}\times100% = 24%$, not $40%$.
Step2: Analyze the statement about tea - ceremony students
The sample has 14 students studying tea - ceremony out of 50. But we cannot say exactly that approximately 14 students at the whole school study tea - ceremony just based on a sample of 50 students. A sample is used to estimate population parameters, not to give an exact number for the whole population.
Answer:
- Not Valid
- Not Valid