The accompanying table summarizes data from a survey of 3,594 parents with school-aged children. In this survey, parents were asked if they were completely satisfied with the education their oldest child receives. School Type Percentage of Parents Completely Satisfied Public 28% Private 62% Of the 3,594 parents surveyed, 608 were parents whose oldest child attended a private school. The parents participating in this survey were thought to be representative of U.S. parents of school-aged children. (a) Use the given information to determine the number of parents surveyed falling into each of the cells in the table below. (Round your answers to the nearest integer.) Completely Satisfied Not Completely Satisfied Total Public School Private School 608 Total 3,594 (b) Estimate the probability that a randomly selected parent of school-aged children is completely satisfied with his or her oldest child's education. (Round your answer to four decimal places.) (c) Estimate the probability that a randomly selected parent of school-aged children has an oldest child who attends a private school. (Round your answer to four decimal places.)
The accompanying table summarizes data from a survey of 3,594 parents with school-aged children. In this survey, parents were asked if they were completely satisfied with the education their oldest child receives. School Type Percentage of Parents Completely Satisfied Public 28% Private 62% Of the 3,594 parents surveyed, 608 were parents whose oldest child attended a private school. The parents participating in this survey were thought to be representative of U.S. parents of school-aged children. (a) Use the given information to determine the number of parents surveyed falling into each of the cells in the table below. (Round your answers to the nearest integer.) Completely Satisfied Not Completely Satisfied Total Public School Private School 608 Total 3,594 (b) Estimate the probability that a randomly selected parent of school-aged children is completely satisfied with his or her oldest child's education. (Round your answer to four decimal places.) (c) Estimate the probability that a randomly selected parent of school-aged children has an oldest child who attends a private school. (Round your answer to four decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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The accompanying table summarizes data from a survey of 3,594 parents with school-aged children. In this survey, parents were asked if they were completely satisfied with the education their oldest child receives.
| School Type | Percentage of Parents Completely Satisfied |
|---|---|
| Public | 28% |
| Private | 62% |
Of the 3,594 parents surveyed, 608 were parents whose oldest child attended a private school. The parents participating in this survey were thought to be representative of U.S. parents of school-aged children.
(a)
Use the given information to determine the number of parents surveyed falling into each of the cells in the table below. (Round your answers to the nearest integer.)
| Completely Satisfied |
Not Completely Satisfied |
Total | |
|---|---|---|---|
| Public School | |||
| Private School | 608 | ||
| Total | 3,594 |
(b)
Estimate the probability that a randomly selected parent of school-aged children is completely satisfied with his or her oldest child's education. (Round your answer to four decimal places.)
(c)
Estimate the probability that a randomly selected parent of school-aged children has an oldest child who attends a private school. (Round your answer to four decimal places.)
(d)
Estimate the probability that a randomly selected parent of school-aged children is not completely satisfied with his or her oldest child's education given that the oldest child attends a private school. (Round your answer to four decimal places.)
(e)
Estimate the probability that a randomly selected parent of school-aged children is completely satisfied with his or her oldest child's education and the oldest child attends public school. (Round your answer to four decimal places.)
(f)
Consider the event E = event that a randomly selected parent of school-aged children is completely satisfied and the event F = event that the selected parent's oldest child attends a private school. Are these independent events? Explain.
Yes, the events E and F are independent because P(E ∩ F) = P(E)·P(F)
Yes, the events E and F are independent because P(E ∩ F) ≠ P(E)·P(F)
No, the events E and F are not independent because P(E ∩ F) ≠ P(E)·P(F)
No, the events E and F are not independent because P(E ∩ F) = P(E)·P(F)
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