question 9 of 10

ms. stewart teaches three science classes. her students are freshmen and sophomores. her student data are shown in the relative frequency table.

which statement is false?

a. 35% of her students are in chemistry.
b. 35% of her students are in biology.
c. 20% of her students are in physical science.
d. 55% of her students are sophomores.

Question

question 9 of 10

ms. stewart teaches three science classes. her students are freshmen and sophomores. her student data are shown in the relative frequency table.

which statement is false?

a. 35% of her students are in chemistry.
b. 35% of her students are in biology.
c. 20% of her students are in physical science.
d. 55% of her students are sophomores.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Two-Way Relative Frequency Tables", "Marginal Frequency" ], "new_concepts": [], "current_concepts": [ "Two-Way Relative Frequency Tables", "Marginal Frequency" ] } ## Analyze marginal frequencies for science classes $$ \begin{aligned} &\text{Biology Total} = 0.35 = 35\%\ &\text{Chemistry Total} = 0.35 = 35\%\ &\text{Physical Science Total} = 0.3 = 30\% \end{aligned} $$ ## Analyze marginal frequency for sophomores $$ \text{Sophomores Total} = 0.55 = 55\% $$ ## Evaluate the given statements $$ \begin{aligned} &\text{Statement A: } 35\% \text{ in chemistry} \implies \text{True } (0.35)\ &\text{Statement B: } 35\% \text{ in biology} \implies \text{True } (0.35)\ &\text{Statement C: } 20\% \text{ in physical science} \implies \text{False } (30\% \text{ or } 0.3)\ &\text{Statement D: } 55\% \text{ are sophomores} \implies \text{True } (0.55) \end{aligned} $$

A. 35% of her students are in chemistry.

B. 35% of her students are in biology.

C. 20% of her students are in physical science.

D. 55% of her students are sophomores.

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Two-Way Relative Frequency Tables" ] }

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Question

Explanation:

Analyze marginal frequencies for science classes

Analyze marginal frequency for sophomores

Evaluate the given statements

Answer: