Exam 2: Displaying and Describing Categorical Data

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The City of Windsor Department of Parks and Recreation is planning to build a recreation centre in one of the city's parks.They conducted a poll to find out the types of physical activities the local population would be interested in.The poll was based on telephone responses from 1013 randomly selected adults.The table shows the percentages of people who expressed interest in various activities. Activity Percent Running/Walking 58 Weight Training 50 Biking 34 Aerobics 24 Swimming 13 What percent of adults polled did not express interest in any of these activities?

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A college examined the impact of an applicant's ethnicity on the likelihood of admission to a particular program.The data are summarized in the table below. Admission Decision EHTNICITY Accepted Wait-listed Tumed away Total Black/Hispanic 466 0 26 492 Asian 119 50 132 301 White 328 267 369 964 Total 913 317 527 1757 What percent of all applicants were Black or Hispanic?

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Students in a political science course were asked to describe their politics as "Liberal","Moderate",or "Conservative." Here are the results: Politics SEX Liberal Moderate Conservative Total Female 26 34 15 75 Male 44 47 24 115 Total 70 81 39 190 What percent of the females in the class consider themselves to be "Liberal"?

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The City of Windsor Department of Parks and Recreation is planning to build a recreation centre in one of the city's parks.They conducted a poll to find out the types of physical activities the local population would be interested in.The poll was based on telephone responses from 1013 randomly selected adults.The table shows the percentages of people who expressed interest in various activities. Activity Percent Running/Walking 56 Weight Training 45 Biking 34 Aerobics 25 Swimming 16 Is it reasonable to conclude that 59% expressed interest in either biking or aerobics?

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Just how accurate are the weather forecasts we hear every day? The table below compares the daily forecast with a city's actual weather for a year. Actual Weather forecast Rain No rain Rain 28 55 No rain 11 271 What percent of the time was the forecast correct?

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A survey of university students in Canada reported the following percentages. Cat lover Dog lover Other Total Brand 1 Cola 22.5\% 28.0\% 16.5\% 67.0\% Brand 2 Cola 7.5\% 12.0\% 13.5\% 33.0\% Total 30.0\% 40.0\% 30.0\% What percentage of cat and/or dog lovers prefers Brand 2 Cola?

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The focus of a recent survey was on teenagers' familiarity with and use of modern technology.The teenagers were asked if they used each of the following technologies on a daily basis and if the technology was critically important to own.For each question,the percentage of those responding "Yes" is given.Subtracting the "Use daily" percentage from the "Critically important to own" percentage gives the "Importance Gap." Here are the results: Use daily Critically important to own Importance gap Computer 47\% 79\% 32 Telephone 54\% 71\% 17 DVD 38\% 51\% 13 Calculator 72\% 78\% 6 Stereo/audio 90\% 72\% -18 Video games 48\% 21\% -27 Create a bar chart for the "Importance Gap".

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The Centers for Disease Control in the U.S.A.lists causes of death for individual states in 2002.The mortality data for the five leading causes of death for one state is given. Cause of Death Percent Heart Disease 28.5\% Cancer 23.2\% Circulatory diseases and stroke 7.5\% Respiratory diseases 5.5\% Accidents 4.8\% Which of the following displays is/are appropriate to describe the data for all causes of death? (More than one display may be appropriate.) I  The Centers for Disease Control in the U.S.A.lists causes of death for individual states in 2002.The mortality data for the five leading causes of death for one state is given.  \begin{array} { l | c }  { \text { Cause of Death } } & \text { Percent } \\ \hline \text { Heart Disease } & 28.5 \% \\ \text { Cancer } & 23.2 \% \\ \text { Circulatory diseases and stroke } & 7.5 \% \\ \text { Respiratory diseases } & 5.5 \% \\ \text { Accidents } & 4.8 \% \end{array}  Which of the following displays is/are appropriate to describe the data for all causes of death? (More than one display may be appropriate.)  I     II    III   II  The Centers for Disease Control in the U.S.A.lists causes of death for individual states in 2002.The mortality data for the five leading causes of death for one state is given.  \begin{array} { l | c }  { \text { Cause of Death } } & \text { Percent } \\ \hline \text { Heart Disease } & 28.5 \% \\ \text { Cancer } & 23.2 \% \\ \text { Circulatory diseases and stroke } & 7.5 \% \\ \text { Respiratory diseases } & 5.5 \% \\ \text { Accidents } & 4.8 \% \end{array}  Which of the following displays is/are appropriate to describe the data for all causes of death? (More than one display may be appropriate.)  I     II    III   III  The Centers for Disease Control in the U.S.A.lists causes of death for individual states in 2002.The mortality data for the five leading causes of death for one state is given.  \begin{array} { l | c }  { \text { Cause of Death } } & \text { Percent } \\ \hline \text { Heart Disease } & 28.5 \% \\ \text { Cancer } & 23.2 \% \\ \text { Circulatory diseases and stroke } & 7.5 \% \\ \text { Respiratory diseases } & 5.5 \% \\ \text { Accidents } & 4.8 \% \end{array}  Which of the following displays is/are appropriate to describe the data for all causes of death? (More than one display may be appropriate.)  I     II    III

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A newspaper surveyed its subscribers as to which section of the paper they read first.The results are listed below. Section Percent Front page 18.3 Sports 25.2 Business 13.9 Comics 22.1 Horoscope 13.7 Is it reasonable to conclude that 39.1% of the paper's subscribers read the business or sports sections first?

(Multiple Choice)
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Most women who have had a mastectomy can have breast reconstruction surgery.The reconstruction surgery can be performed at the same time as the mastectomy,an immediate reconstruction,or after the patient has healed from the mastectomy,second surgery reconstruction.Some women opt not to have reconstruction surgery.The table shows the percentages of women's choices regarding reconstruction for three age categories.A graphical display of the conditional distributions of reconstruction choice by age is given. age reconstrucyion Under 35 35-50 Over 50 Immediate reconstruction 63\% 48\% 23\% Second surgery reconstruction 31\% 34\% 41\% No reconstruction 6\% 18\% 36\% Total 100 100 100  Most women who have had a mastectomy can have breast reconstruction surgery.The reconstruction surgery can be performed at the same time as the mastectomy,an immediate reconstruction,or after the patient has healed from the mastectomy,second surgery reconstruction.Some women opt not to have reconstruction surgery.The table shows the percentages of women's choices regarding reconstruction for three age categories.A graphical display of the conditional distributions of reconstruction choice by age is given.  \begin{array}{|l|ccc|} &&age\\ \hline \text {reconstrucyion }& \text { Under } 35 & 35-50 & \text { Over } 50 \\ \hline \text { Immediate reconstruction } & 63 \% & 48 \% & 23 \% \\ \text { Second surgery reconstruction } & 31 \% & 34 \% & 41 \% \\ \text { No reconstruction } & 6 \% & 18 \% & 36 \% \\ \hline \text { Total } & 100 & 100 & 100 \\ \hline \end{array}    Does there appear to be an association between reconstruction choice and age? Explain. Does there appear to be an association between reconstruction choice and age? Explain.

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