select the correct answer from each drop - down menu. students from grades 11 and 12 in jasons school were…

select the correct answer from each drop - down menu. students from grades 11 and 12 in jasons school were asked to vote for the prom king and queen. jason surveyed every 12th student from a list of 1,200 students. the table shows the results of his survey.\n| | votes |\n|--|--|\n| prom king | |\n| david | 22 |\n| steve | 24 |\n| tyler | 28 |\n| derek | 26 |\n| prom queen | |\n| katie | 27 |\n| hillary | 23 |\n| haylie | 24 |\n| avril | 26 |\njason can predict that tyler will receive votes and katie will receive votes from the student body.

select the correct answer from each drop - down menu. students from grades 11 and 12 in jasons school were asked to vote for the prom king and queen. jason surveyed every 12th student from a list of 1,200 students. the table shows the results of his survey.\n| | votes |\n|--|--|\n| prom king | |\n| david | 22 |\n| steve | 24 |\n| tyler | 28 |\n| derek | 26 |\n| prom queen | |\n| katie | 27 |\n| hillary | 23 |\n| haylie | 24 |\n| avril | 26 |\njason can predict that tyler will receive votes and katie will receive votes from the student body.

Answer

Explanation:

Step1: Calculate the sampling ratio

The sampling ratio is $\frac{1}{12}$ since every 12th student was surveyed. The total number of students is $N = 1200$.

Step2: Predict votes for Tyler

Tyler got 28 votes in the sample. Let the predicted number of votes for Tyler in the whole - student body be $x$. We use the proportion $\frac{28}{n}=\frac{x}{1200}$, where $n$ is the number of students in the sample. The number of students in the sample is $\frac{1200}{12}=100$. So $x=\frac{28\times1200}{100}=336$.

Step3: Predict votes for Katie

Katie got 27 votes in the sample. Let the predicted number of votes for Katie in the whole - student body be $y$. Using the proportion $\frac{27}{n}=\frac{y}{1200}$ (with $n = 100$), we have $y=\frac{27\times1200}{100}=324$. But since we are only choosing from the given options for the format of the problem, we focus on the calculation for Tyler which is 336.

Answer:

Tyler will receive 336 votes and Katie will receive (no options for Katie's value in the provided dropdowns are fully visible, but based on the above - calculation for Tyler) 336 (for Tyler's answer from the dropdown options)