/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 53 A 2010 poll by Marist University... [FREE SOLUTION] | 91Ó°ÊÓ

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A 2010 poll by Marist University asked people to choose their favorite classic Christmas movie from a list of five choices. The following table shows the frequencies for the various movies: $$ \begin{array}{l|ccccc} \hline & \text { It's A } & \text { A Christmas } & \text { Miracle on } & \text { White } & \text { A Christmas } \\ \text { Movie } & \text { Wonderful Life } & \text { Story } & \text { 34th Street } & \text { Christmas } & \text { Carol } \\ \hline \text { Frequency } & 247 & 237 & 226 & 124 & 134 \\ \hline \end{array} $$

Short Answer

Expert verified
The movie with the highest percentage of votes is 'It's A Wonderful Life' with 25.5% of votes.

Step by step solution

01

Total votes calculation

First step will be to get the total number of votes. This is done by adding all the frequencies together. Here is how to do it: Total votes = 247 (It's A Wonderful Life) + 237 (A Christmas Story) + 226 (Miracle on 34th Street) + 124 (White Christmas) + 134 (A Christmas Carol) = 968.
02

Relative frequencies calculations

Next, calculate the relative frequencies of each movie. This is done by dividing the votes for each movie by the total votes and then multiplying by 100 to get the percentage. The calculations would be as follows:- It's A Wonderful Life = (247 / 968) * 100 = 25.5%- A Christmas Story = (237 / 968) * 100 = 24.5%- Miracle on 34th Street = (226 / 968) * 100 = 23.4%- White Christmas = (124 / 968) * 100 = 12.8%- A Christmas Carol = (134 / 968) * 100 = 13.8%
03

Conclusion

Now, we can conclude which movie is most liked by people in percentage terms and the movie It's A Wonderful Life got 25.5% votes, which is the highest among all.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Frequency Distribution
Frequency distribution is a way to organize data that involves a list of possible outcomes along with their corresponding frequencies. In the context of the poll from the Marist University, each movie serves as an outcome, and the number of people who selected each movie represents that outcome's frequency. For example, "It’s A Wonderful Life" had a frequency of 247, meaning 247 people chose it as their favorite movie.

By organizing these numbers into a frequency distribution table, students can easily compare how many responses each movie received. This method is extremely useful in transforming raw data into a more interpretable format, as it helps highlight the relative popularity of each choice in a clear and straightforward manner.
Percentage
Calculating percentages from frequencies allows us to understand the proportion of total responses that each option received. To find the percentage of votes each movie got, divide the frequency of each movie by the total number of votes and then multiply by 100.

This calculation shows the importance of taking raw data (like frequency counts) and turning it into understandable metrics—percentages. For instance, "It's A Wonderful Life" received 25.5% of the votes. This percentage indicates that just over a quarter of the respondents chose it as their favorite classic Christmas movie. Using percentages makes it easier to communicate insights effectively, especially when comparing groups with different total sizes.
Poll Analysis
Poll analysis involves examining the collected data to derive meaningful insights. In our scenario, poll analysis began with a simple count of responses for each movie and extended to calculating relative frequencies (percentages) to better understand the data.

Analyzing the poll involves looking at which movie garnered the most support, which had the least, and detecting any notable patterns. With "It’s A Wonderful Life" obtaining the highest percentage, 25.5%, we can conclude that it is the most favored choice. Poll analysis is crucial in decision-making and understanding the preferences of a target audience, whether it’s for marketing strategies or understanding popular trends.
Voting Results
The voting results from the poll highlight the final outcome of the preferences of the surveyed group. The systematic calculation of each movie's percentage allows participants to see their standings clearly.

From the given data, "It’s A Wonderful Life" emerged as the ultimate favorite with the highest percentage of votes, indicating its popularity among the polled individuals. Voting results are crucial as they reflect collective opinions and preferences. Accurately presenting these results allows stakeholders to make informed decisions based on what the data reveals about people's choices and inclinations.

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