Questions: Members of the student government are planning a movie night on campus. They have asked a random sample of students which of four movies the students would prefer. Here are the results. Movie Preferred Number of Students --- --- Movie A 33 Movie B 29 Movie C 35 Movie D 34 There are 700 students total on campus. Based on the above information, how many students on campus would we expect to prefer Movie C? Round your answer to the nearest whole number. Do not round any intermediate calculations. students

Members of the student government are planning a movie night on campus. They have asked a random sample of students which of four movies the students would prefer. Here are the results. Movie Preferred Number of Students --- --- Movie A 33 Movie B 29 Movie C 35 Movie D 34 There are 700 students total on campus. Based on the above information, how many students on campus would we expect to prefer Movie C? Round your answer to the nearest whole number. Do not round any intermediate calculations. students
Transcript text: Members of the student government are planning a movie night on campus. They have asked a random sample of students which of four movies the students would prefer. Here are the results. \begin{tabular}{|c|c|} \hline Movie Preferred & \begin{tabular}{c} Number of \\ Students \end{tabular} \\ \hline Movie A & 33 \\ \hline Movie B & 29 \\ \hline Movie C & 35 \\ \hline Movie D & 34 \\ \hline \end{tabular} There are 700 students total on campus. Based on the above information, how many students on campus would we expect to prefer Movie C? Round your answer to the nearest whole number. Do not round any intermediate calculations. $\square$ students
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Solution

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Solution Steps

Step 1: Calculate the total number of students in the sample

Add up the number of students who preferred each movie: \[ 33 + 29 + 35 + 34 = 131 \]

Step 2: Determine the proportion of students who prefer Movie C

Divide the number of students who prefer Movie C by the total number of students in the sample: \[ \frac{35}{131} \approx 0.2672 \]

Step 3: Estimate the number of students on campus who prefer Movie C

Multiply the proportion by the total number of students on campus (700) and round to the nearest whole number: \[ 0.2672 \times 700 \approx 187 \]

Final Answer

\(\boxed{187}\)

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