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Using and Understanding Mathematics
Exam 5: Statistical Reasoning
Path 4
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Question 201
Multiple Choice
Answer the question. -Which of the following describes the bias that occurs when researchers select their sample in such a way that it is unlikely to be representative of the population?
Question 202
Multiple Choice
Determine whether the study involves selection bias, participation bias, both selection bias and participation bias, orneither. -A researcher published this survey result: "74% of people would be willing to spend 10 percent more for energy from a non-polluting source". The survey question was announced on a national Radio show and 1200 listeners responded by calling in.
Question 203
Essay
Provide an appropriate response. -Suppose that you want to construct a pie chart to represent the following data.
Blood Type
Frequency
O
90
A
84
B
18
AB
8
\begin{array} { l | c } \text { Blood Type } & \text { Frequency } \\\hline \text { O } & 90 \\\text { A } & 84 \\\text { B } & 18 \\\text { AB } & 8\end{array}
Blood Type
O
A
B
AB
Frequency
90
84
18
8
Explain how you would calculate the angle for the pie-shaped piece corresponding to the blood type O.
Question 204
Multiple Choice
Choose the best wording for the question in the study. -A researcher wants to determine the level of support for the war. Which of the following questions would produce the most accurate results?
Question 205
Multiple Choice
State whether you think that the variables have strong positive correlation, weak positive correlation, strong negativecorrelation, weak negative correlation, or no correlation. -Number of appliances sold and revenue of appliance store
Question 206
Essay
Create a graphical display for the data given. You may choose any graphic type that you feel is appropriate. Write a fewsentences explaining why you chose this type of display and a few sentences describing any interesting patterns in thedata. -The table below shows the number of AIDS diagnoses for the United Kingdom by year.
Year of diagnosis
Male
Female
1993
1549
237
1994
1628
225
1995
1487
282
1996
1164
270
1997
857
216
1998
592
192
1999
556
189
2000
572
236
\begin{array} { c | c | l } \text { Year of diagnosis } & \text { Male } & \text { Female } \\\hline 1993 & 1549 & 237 \\1994 & 1628 & 225 \\1995 & 1487 & 282 \\1996 & 1164 & 270 \\1997 & 857 & 216 \\1998 & 592 & 192 \\1999 & 556 & 189 \\2000 & 572 & 236\end{array}
Year of diagnosis
1993
1994
1995
1996
1997
1998
1999
2000
Male
1549
1628
1487
1164
857
592
556
572
Female
237
225
282
270
216
192
189
236
Question 207
Multiple Choice
Construct a pie chart representing the given data set. -
Favorite Beverage
Number of responses
Cola
170
Juice
105
Milk
115
Tea
155
Water
75
\begin{array} { c c } \hline \text { Favorite Beverage } & \text { Number of responses } \\\hline \text { Cola } & 170 \\\text { Juice } & 105 \\\text { Milk } & 115 \\\text { Tea } & 155 \\\text { Water } & 75 \\\hline\end{array}
Favorite Beverage
Cola
Juice
Milk
Tea
Water
Number of responses
170
105
115
155
75
Question 208
Multiple Choice
The stack plot below shows the value of each of Danny's investments. The stack plot contains three regions. Theuppermost unshaded region represents the value of Danny's investment in individual stocks. The center shaded regionrepresents the value of Danny's investment in mutual funds and the bottom region in black represents the value ofDanny's investment in a CD. The thickness of a region at a particular time tells you its value at that time.
Use the graph to answer the question. -In which year was the value of Danny's investment in individual stocks the least?
Question 209
Multiple Choice
A sample statistic and margin of error are given. Find the confidence interval likely to contain the population parameterof interest and answer the question. -A poll conducted the day before the student-body presidential election at a midwestern university showed that 53.0 percent favored Mario, the rest favoring Yin Ling. The margin of error was 5.0 Percentage points. Should Yin Ling have conceded the election?
Question 210
Multiple Choice
A statement is made about correlation. State whether the correlation is positive or negative and whether the correlation ismost likely due to coincidence, a common underlying cause, or a direct cause. -Towns with a lot of churches had a lot of homicides last year. Towns with fewer churches had fewer homicides.
Question 211
Multiple Choice
Answer the question. -The strengths of the last 5 major earthquakes to hit California have differed by factors of 10. If you were to display data describing the strengths of these earthquakes what could you use to make the Graph more readable?
Question 212
Multiple Choice
A sample statistic and margin of error are given. Find the confidence interval likely to contain the population parameterof interest and answer the question. -Following the Republican National Convention, a poll of voters in a Central Illinois community showed that 58.1% would choose the Republican ticket to win over the Democrat ticket no matter Whom the Democrats chose for vice-president. The margin of error was 4.2 percentage points. Should the Democrats expect to lose Central Illinois?
Question 213
Essay
Solve the problem. -A researcher suspects that pesticides in foods cause cancer. Suggest some ways that she could go about establishing causality. Refer to the six guidelines for establishing causality. For each guideline suggest some research that should be pursued. Discuss any challenges that the researcher would face in establishing causality.
Question 214
Multiple Choice
Answer the question. -Which of the following quantities of interest would be the most difficult to define?
Question 215
Multiple Choice
Choose the best wording for the question in the study. -If you wanted to determine if your customers are satisfied with the selection in your store, which of the following survey questions would give you the most accurate results?