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Chapter 14 Exam A
Name
SHORT ANSWER. Using the following information, write the word, phrase, or value that best answers the
problem.
Use the following piece of the life table for white females taken from E. Arias, "United States Life Tables," 2000,
for the next three questions.
Life Table for White Females: U.S., 2000
Age Probability of Number Number Person Total Expected
Interval Dying Surviving to of Deaths -Years Person- Remaining
the During Lived Years Lifetime
Beginning of the Lived
the Interval Interval
0-1 .005127 100,000 513 99,550 7,996,958 80
1-2 .000412 99,487 99,467 7,897,408 79.4
2-3 99,446 27 99,433 7,797,941 78.4
1) Find the missing number of deaths in the fourth column of the table. 1)____________
2) Find the missing probability of dying in the second column of the table. 2)____________
3) Find the probability that a white female will live from birth to her 2nd birthday. 3)____________
Use Table 14-1 to solve the following problems involving Life Tables.
4) Find the probability that a person will survive from their 49th birthday to their 50th birthday. 4)____________
5) Given 500 people who reach their 49th birthday, what is the expected number of people who 5)____________
survive to their 50th birthday?
6) Find the expected remaining lifetime for a person who has just reached their 80th birthday. 6)____________
7) Find the expected age at death of someone who has just reached their 80th birthday. 7)____________
8) Find the probability that a person will survive from their 10th to their 30th birthday. 8)____________
9) Find the probability that a person will die sometime between their 10th and 30th birthday. 9)____________
,Use the following table for numbers 10-14.
Drug Rehabilitation Program: Survival Data
Day Status Number of Patients Proportion of Cumulative
0 = censored Patients Drug Free Patients Drug Free Proportion
of Patients
1 = Failed Drug Free
3 1 5 4
4 0
5 1 3 2
7 1 2 1
40 0
10) How many patients entered the drug rehabilitation program? 10)___________
11) Find the proportion of patients that were drug free on day 5. 11)___________
12) Find the cumulative proportion of patients that were drug free on day 5. 12)___________
13) What does the last 0 in the second column indicate? 13)___________
14) Construct a cumulative survival curve (graph) for the data in the table. 14___________
Use the following information for the next five questions. In a certain region, a researcher found that among 4000
people who survived to their 24th birthday, there were 10 deaths before they reached age 25. Use Table 14-1 and a
significance level of 0.05 to test the claim that this is an unusually high number of deaths.
15) Identify the null hypothesis and alternative hypothesis. 15)___________
16) Determine the value of the z test statistic. 16)___________
17) Identify the P-value. 17)___________
18) State a conclusion about the null hypothesis. 18)___________
19) State a final conclusion that addresses the original claim. 19)___________
20) What basic assumption about period life tables might make a value for expected remaining 20)___________
lifetime inaccurate?
,Answer Key
Testname: CHAPTER 14 EXAM A
1) 41
2) 0 .000272
3) 0 .99446
4) 0.996170
5) 498.085
6) 9.1 years
7) 89.1
8) 0.987751
9) 0.012225
10) 5
11) 0.667
12) 0.534
13) The last zero indicates that one patient remained drug free throughout the program.
14)
15) H0 : p = 0.000934; H1 : p > 0 .000934
16) z = 3.24
17) P-value = 0.000593
18) Reject H0.
19) The sample data support the claim that this is an unusually high number of deaths.
20) In a period life table, the death rates continue to remain in effect during the entire lives of the hypothetical people.
Also, in reality, the mortality rates can vary by gender and race.
, Chapter 14 Exam B
Name
SHORT ANSWER. Using the following information, write the word, phrase, or value that best answers the
problem.
Use the following piece of the life table for black females taken from E. Arias, "United States Life Tables," 2000,
for the next three questions.
Life Table for Black Females: U.S., 2000
Age Probability of Number Number Person Total Expected
Interval Dying Surviving to of Deaths -Years Person- Remaining
the During Lived Years Lifetime
Beginning of the Lived
the Interval Interval
0-1 .012672 100,000 1,267 98,890 7,493,035 74.9
1-2 .000790 98,733 98,694 7,394,145 74.9
2-3 98,655 53 98,628 7,295,452 73.9
1) Find the missing number of deaths in the fourth column of the table. 1)____________
2) Find the missing probability of dying in the second column of the table. 2)____________
3) Find the probability that a black female will live from birth to her 2nd birthday. 3)____________
Use Table 14-1 to solve the following problems involving Life Tables.
4) Find the probability that a person will survive from their 69th birthday to their 70th birthday. 4)____________
5) Given 200 people who reach their 69th birthday, what is the expected number of people who 5)____________
survive to their 70th birthday?
6) Find the expected remaining lifetime for a person who has just reached their 25th birthday. 6)____________
7) Find the expected age at death of someone who has just reached their 25th birthday. 7)____________
8) Find the probability that a person will survive from their 20th to their 40th birthday. 8)____________
9) Find the probability that a person will die between their 20th and 40th birthday. 9)____________
Chapter 14 Exam A
Name
SHORT ANSWER. Using the following information, write the word, phrase, or value that best answers the
problem.
Use the following piece of the life table for white females taken from E. Arias, "United States Life Tables," 2000,
for the next three questions.
Life Table for White Females: U.S., 2000
Age Probability of Number Number Person Total Expected
Interval Dying Surviving to of Deaths -Years Person- Remaining
the During Lived Years Lifetime
Beginning of the Lived
the Interval Interval
0-1 .005127 100,000 513 99,550 7,996,958 80
1-2 .000412 99,487 99,467 7,897,408 79.4
2-3 99,446 27 99,433 7,797,941 78.4
1) Find the missing number of deaths in the fourth column of the table. 1)____________
2) Find the missing probability of dying in the second column of the table. 2)____________
3) Find the probability that a white female will live from birth to her 2nd birthday. 3)____________
Use Table 14-1 to solve the following problems involving Life Tables.
4) Find the probability that a person will survive from their 49th birthday to their 50th birthday. 4)____________
5) Given 500 people who reach their 49th birthday, what is the expected number of people who 5)____________
survive to their 50th birthday?
6) Find the expected remaining lifetime for a person who has just reached their 80th birthday. 6)____________
7) Find the expected age at death of someone who has just reached their 80th birthday. 7)____________
8) Find the probability that a person will survive from their 10th to their 30th birthday. 8)____________
9) Find the probability that a person will die sometime between their 10th and 30th birthday. 9)____________
,Use the following table for numbers 10-14.
Drug Rehabilitation Program: Survival Data
Day Status Number of Patients Proportion of Cumulative
0 = censored Patients Drug Free Patients Drug Free Proportion
of Patients
1 = Failed Drug Free
3 1 5 4
4 0
5 1 3 2
7 1 2 1
40 0
10) How many patients entered the drug rehabilitation program? 10)___________
11) Find the proportion of patients that were drug free on day 5. 11)___________
12) Find the cumulative proportion of patients that were drug free on day 5. 12)___________
13) What does the last 0 in the second column indicate? 13)___________
14) Construct a cumulative survival curve (graph) for the data in the table. 14___________
Use the following information for the next five questions. In a certain region, a researcher found that among 4000
people who survived to their 24th birthday, there were 10 deaths before they reached age 25. Use Table 14-1 and a
significance level of 0.05 to test the claim that this is an unusually high number of deaths.
15) Identify the null hypothesis and alternative hypothesis. 15)___________
16) Determine the value of the z test statistic. 16)___________
17) Identify the P-value. 17)___________
18) State a conclusion about the null hypothesis. 18)___________
19) State a final conclusion that addresses the original claim. 19)___________
20) What basic assumption about period life tables might make a value for expected remaining 20)___________
lifetime inaccurate?
,Answer Key
Testname: CHAPTER 14 EXAM A
1) 41
2) 0 .000272
3) 0 .99446
4) 0.996170
5) 498.085
6) 9.1 years
7) 89.1
8) 0.987751
9) 0.012225
10) 5
11) 0.667
12) 0.534
13) The last zero indicates that one patient remained drug free throughout the program.
14)
15) H0 : p = 0.000934; H1 : p > 0 .000934
16) z = 3.24
17) P-value = 0.000593
18) Reject H0.
19) The sample data support the claim that this is an unusually high number of deaths.
20) In a period life table, the death rates continue to remain in effect during the entire lives of the hypothetical people.
Also, in reality, the mortality rates can vary by gender and race.
, Chapter 14 Exam B
Name
SHORT ANSWER. Using the following information, write the word, phrase, or value that best answers the
problem.
Use the following piece of the life table for black females taken from E. Arias, "United States Life Tables," 2000,
for the next three questions.
Life Table for Black Females: U.S., 2000
Age Probability of Number Number Person Total Expected
Interval Dying Surviving to of Deaths -Years Person- Remaining
the During Lived Years Lifetime
Beginning of the Lived
the Interval Interval
0-1 .012672 100,000 1,267 98,890 7,493,035 74.9
1-2 .000790 98,733 98,694 7,394,145 74.9
2-3 98,655 53 98,628 7,295,452 73.9
1) Find the missing number of deaths in the fourth column of the table. 1)____________
2) Find the missing probability of dying in the second column of the table. 2)____________
3) Find the probability that a black female will live from birth to her 2nd birthday. 3)____________
Use Table 14-1 to solve the following problems involving Life Tables.
4) Find the probability that a person will survive from their 69th birthday to their 70th birthday. 4)____________
5) Given 200 people who reach their 69th birthday, what is the expected number of people who 5)____________
survive to their 70th birthday?
6) Find the expected remaining lifetime for a person who has just reached their 25th birthday. 6)____________
7) Find the expected age at death of someone who has just reached their 25th birthday. 7)____________
8) Find the probability that a person will survive from their 20th to their 40th birthday. 8)____________
9) Find the probability that a person will die between their 20th and 40th birthday. 9)____________
