after the premiere of the new comedy bumblebee, moviegoers were asked in a quick poll whether they liked the movie. out of 20 adults, all but 5 said they liked the movie, whereas out of 100 teenagers, all but 19 said they liked the movie.

fill in the blanks below to make the most reasonable statement possible.

at the movie premiere, select moviegoers liked the movie less. that is because % disliked the movie, whereas only % of the select moviegoers disliked the movie.

Question

after the premiere of the new comedy bumblebee, moviegoers were asked in a quick poll whether they liked the movie. out of 20 adults, all but 5 said they liked the movie, whereas out of 100 teenagers, all but 19 said they liked the movie.

fill in the blanks below to make the most reasonable statement possible.

at the movie premiere, select moviegoers liked the movie less. that is because  % disliked the movie, whereas only  % of the select moviegoers disliked the movie.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Sample Proportion", "Proportion Comparison" ], "new_concepts": [], "current_concepts": [ "Sample Proportion", "Proportion Comparison" ] } ## Extract the given data Using the *Sample Proportion* knowledge point $$ \begin{aligned} &\text{Adults: } n_1 = 20, \quad \text{Disliked: } x_1 = 5 \ &\text{Teenagers: } n_2 = 100, \quad \text{Disliked: } x_2 = 19 \end{aligned} $$ ## Calculate the dislike proportions Using the *Sample Proportion* knowledge point $$ \begin{aligned} &p_1 = \frac{5}{20} = 0.25 = 25\% \ &p_2 = \frac{19}{100} = 0.19 = 19\% \end{aligned} $$ ## Compare the proportions Using the *Proportion Comparison* knowledge point $$ \begin{aligned} &25\% > 19\% \ &\text{Adults disliked the movie more than teenagers (liked it less).} \end{aligned} $$ At the movie premiere, adult moviegoers liked the movie less. That is because 25% disliked the movie, whereas only 19% of the teenager moviegoers disliked the movie. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Sample Proportion" ] }

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QUESTION IMAGE

Question

Explanation:

Extract the given data

Calculate the dislike proportions

Compare the proportions

Answer: