Maths-
General
Easy

Question

A market researcher selected 200 people at random from a group of people who indicated that they liked a certain book. The 200 people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, 95% said they disliked the movie. Which of the following inferences can appropriately be drawn from this survey result?

  1. At least 95% of people who go see movies will dislike this movie.
  2. At least 95% of people who read books will dislike this movie.
  3. Most people who dislike this book will like this movie.
  4. Most people who like this book will dislike this movie.

The correct answer is: Most people who like this book will dislike this movie.


    HINT -  The researchers did survey on people who read the book, liked it and then went to watch the movie. So, the results of the survey will be applicable on the population that not just read the book but liked it.
    SOLUTION – Since 95% of the people who liked the book disliked     the movie. It implies that most of the people who read the book and liked it will dislike the movie.
    Hence, option D is correct

    That is to say, if we sampled this pool, we could not extrapolate that to the entire pool. For example, if you randomly selected twenty students from your class and discovered that 8% of them enjoy chocolate ice cream, this does not imply that 80% of the world enjoys chocolate ice cream. Okay, so then, we know that at least 95 percent of the people who go to the movies will dislike this movie. That's not certain because that's an extrapolation. After all, once again, we only asked two hundred people, so we can ask if everyone who reads the book will dislike the movie.
    It is stated that most people who disliked the book will enjoy this movie. That is incorrect because it states that 95% of people opposed the film. That's not correct. Most people who liked the book will dislike the movie. So, that should be D.

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