Question

quinn is helping his school choose a new mascot. he surveys a random sample of 40 students and 12 of the students want the mascot to be a tiger.
what percentage of the students in the sample want the mascot to be a tiger?
30 %
if all the students at quinns school vote for their favorite mascot, would you expect exactly 30% of the students to vote for a tiger?
no. the results of random samples vary. they are not an exact measure of a population.
there are 150 students at quinns school. which is the best estimate of the number of students at the school who want the mascot to be a tiger?
12 30 45 50

Explanation:

Step1: Calculate the percentage of students in the sample who want the mascot to be a tiger

The formula for percentage is $\frac{\text{number of students who want tiger}}{\text{total number of students in sample}}\times100\%$. Given that the number of students who want tiger is $12$ and assume the sample size is $40$ (since $12\div0.3 = 40$). Then $\frac{12}{40}\times100\%=\frac{12\times100\%}{40}=30\%$.

Step2: Estimate the number of students in the school who want the mascot to be a tiger

If $30\%$ of the students in the sample want the tiger, and there are $N = 150$ students in the school. We use the formula $\text{estimated number}=N\times\text{percentage}$. So, $150\times0.3=45$.

Answer:

For the first question, the percentage is $30\%$. For the third question, the best estimate is $45$.