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1.9.1: Preparation N.9

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    (1) A high school class took a math test. To help prepare future classes for similar tests, the counselors at the school did additional research on the class’s study habits. Here is the data from that research, given in a two-way table. (Note: You may wish to use the blank spaces provided to compute totals.)

      Studied Didn't Study Total
    Passed the Test 70 4  
    Failed the Test 10 32  
    Total    

    (a) How many students studied for the test?

    (2) A local businesswoman wants to measure the ability of advertisement slogans to catch people’s attention. She designs two signs, each with a different slogan, places them in store windows in similar stores in a mall, and observes shoppers’ reactions. She records her information in the following table:

      Slogan 1 Slogan 2
    Number of people who stopped to take a closer look at the sign 36 27
    Number of people who passed the sign without stopping 510 288

    (a) Which slogan appeared to be the most effective? Explain your answer.

    (b) If, on another day, only 315 people encountered the sign with Slogan 1 on it, how many people do you think might actually stop and take a closer look?

    After Preparation N.9 (survey)

    You should be able to do the following things for the next collaboration. Rate how confident you are on a scale of 1–5 (1 = not confident and 5 = very confident).

    Before beginning Collaboration N.9, you should understand the concepts and demonstrate the skills listed below:

    Skill or Concept: I can … Rating from 1 to 5
    read information presented in a two-way table.  
    represent risks or probabilities by both percentages and ratios.  
    interpret the meaning of a screening tool’s sensitivity and specificity.  

    This page titled 1.9.1: Preparation N.9 is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Carnegie Math Pathways (WestEd) via source content that was edited to the style and standards of the LibreTexts platform.