QUESTION IMAGE
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.
Step1: Calculate the percentage of students who study flower arranging
The formula for percentage is $\frac{\text{Frequency of flower arranging}}{\text{Total number of students}}\times100\%$.
The frequency of flower arranging is $12$, and the total number of students in the sample is $50$.
So the percentage is $\frac{12}{50}\times100\% = 0.24\times100\%=24\%$.
Step2: Compare the calculated percentage with the given percentage
The calculated percentage is $24\%$, and the given percentage in the inference is $40\%$. Since $24\%
eq40\%$.
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Not Valid