Question

Lyme disease is an infection caused by bacteria. A test for Lyme disease may be affected by other medications and medical conditions. The testing results are summarized in the table.

Tested positive Tested negative Row Totals
Has Lyme disease 53% 17% 70%
Does not have Lyme disease 12% 18% 30%
Column Totals 65% 35% 100%


What percentage of all patients who took the test had a false negative result?
12%
17%
18%
35%
Question 3(Multiple Choice Worth 3 points)
(04.04 MC)

The data on the table describes the preferred type of exercise as surveyed by 9th graders.


Cycling Running Swimming Total
Males 15% 13% 21% 49%
Females 12% 16% 23% 51%
Total 27% 29% 44% 100%


Compare the conditional relative frequencies of a male preferring swimming to a female preferring swimming. Round your answers to two decimal places.
0.47 to 0.52
0.46 to 0.39
0.43 to 0.45
0.21 to 0.12
Question 4(Multiple Choice Worth 3 points)
(04.04 MC)

The data in the table describes the preferred type of exercise of student athletes.


Cycling Running Row Totals
Male 0.22 0.32 0.54
Female 0.15 0.31 0.46
Column Totals 0.37 0.63 1.00


What is the conditional relative frequency that a female prefers running? Round your answer to two decimal places.
0.36
0.49
0.58
0.67
Question 5(Multiple Choice Worth 3 points)
(04.04 LC)

The data in the table describes the preferred type of exercise of 9th graders.


Cycling Running Swimming Row Totals
Boy 12% 18% 16%
Girl 14% 21% 19%
Column Totals 100%


Find the marginal relative frequency for students who prefer cycling as their preferred type of exercise.
12%
14%
26%
39%
Question 6(Multiple Choice Worth 3 points)
(04.04 MC)

As shoppers left a supermarket, they were asked if they used a shopping list and if they bought more items than they expected. The table contains the results.


Bought only the expected items Bought more items than expected Row Totals
Had a shopping list 0.43 0.17 0.60
Did not have a shopping list 0.22 0.18 0.40
Column Totals 0.65 0.35 1.00


If a customer purchased more items than planned, what is the likelihood that the customer did not use a shopping list? Round your answer to two decimal places.
0.51
0.49
0.28
0.17
Question 7 (Essay Worth 6 points)
(04.04 MC)

The relative frequency table describes the relationship between students who completed an exam review and their performance on the exam.


Passed exam Did not pass exam Row Totals
Completed exam review 55% 10% 65%
Did not complete exam review 20% 15% 35%
Column Totals 75% 25% 100%


Part A: What is the percentage of students who passed the exam, given that they completed the exam review? Round to the nearest percentage. (2 points)

Part B: What is the percentage of students who passed the exam, given that they did not complete the exam review? Round to the nearest percentage. (2 points)

Part C: Is there an association between passing the exam and completing the exam review? Justify your answer. (2 points)




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Question 8 (Essay Worth 6 points)
(04.04 MC)

The 9th grade class was surveyed about their plans after high school graduation. The table describes the results.


Plans to live at home Plans to live on their own Row Totals
Plans to attend college 35% 30% 65%
Plans not to attend college 25% 10% 35%
Column Totals 60% 40% 100%


Part A: Find the conditional relative frequency of a student who plans to attend college, given that they plan to live at home. (3 points)

Part B: Is there an association between attending college and living on their own? (3 points)




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Answer 1

(1) 0.21 to 0.23 (2) 0.67 (3) 26% (4) 0.51. Other Answers Below.

Explanation:

Question 3:

The conditional relative frequencies of a male preferring swimming to a female preferring swimming are approximately 0.21 to 0.23.

Answer: 0.21 to 0.23

Question 4:

The conditional relative frequency that a female prefers running is approximately 0.67.

Answer: 0.67

Question 5:

The marginal relative frequency for students who prefer cycling is 26%.

Answer: 26%

Question 6:

The likelihood that a customer did not use a shopping list if they bought more items than planned is approximately 0.51.

Answer: 0.51

Question 7:

Part A: The percentage of students who passed the exam given that they completed the exam review is approximately 84%.

Part B: The percentage of students who passed the exam given that they did not complete the exam review is approximately 57%.

Part C: Yes, there is an association between passing the exam and completing the exam review.

Question 8:

Part A: The conditional relative frequency of a student who plans to attend college, given that they plan to live at home, is approximately 58.33%.

Part B: Yes, there is an association between attending college and living on their own.