The following joint distribution that has been constructed using data from the 1995 National Health Survey conducted by the Australian Bureau of Statistics. This is a large, nationally represented survey of Australians. The data in the Table refer to whether an individual has used any medications in the last 2 weeks prior to interview and their self-assessed health status (SAHS). For SAHS individuals are asked to rate their current health on a five-level scale ranging from poor to excellent. Table : Joint frequency distribution of self assessed health and use of medications for Australians in 1995 Self-assessed health Excellent Very good Good Fair Poor Totals Use medication 10.7 20.7 20.0 9.7 3.5 64.6 No medication 9.4 13.7 9.7 2.2 0.4 35.4 Totals 20.1 34.4 29.7 11.9 3.9 100.0 Using the distribution as an estimate of the population distribution, which of the following is not correct? Select one: a. The probability that a randomly selected Australian did not use medication in the last two weeks is 0.354 O b. The probability that a randomly selected Australian is in fair health is 0.119 c. Australians in poor health are much more likely to be using medications than not using medications O d. The conditional probability of being in excellent health given not using medications is equal to the probability of being in excellent health.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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I am struggling with this probability question - a detailed answer would be great please!

The following joint distribution that has been constructed using data from the 1995 National Health Survey conducted by the Australian Bureau of Statistics. This is a large, nationally
represented survey of Australians. The data in the Table refer to whether an individual has used any medications in the last 2 weeks prior to interview and their self-assessed health
status (SAHS). For SAHS individuals are asked to rate their current health on a five-level scale ranging from poor to excellent. Table : Joint frequency distribution of self assessed health
and use of medications for Australians in 1995
Self-assessed health
Excellent Very good
Good
Fair
Рoor
Totals
Use medication
10.7
20.7
20.0
9.7
3.5
64.6
No medication
9.4
13.7
9.7
2.2
0.4
35.4
Totals
20.1
34,4
29.7
11.9
3.9
100.0
Using the distribution as an estimate of the population distribution, which of the following is not correct?
Select one:
O a. The probability that a randomly selected Australian did not use medication in the last two weeks is 0.354
O b. The probability that a randomly selected Australian is in fair health is 0.119
O c. Australians in poor health are much more likely to be using medications than not using medications
O d. The conditional probability of being in excellent health given not using medications is equal to the probability of being in excellent health.
Transcribed Image Text:The following joint distribution that has been constructed using data from the 1995 National Health Survey conducted by the Australian Bureau of Statistics. This is a large, nationally represented survey of Australians. The data in the Table refer to whether an individual has used any medications in the last 2 weeks prior to interview and their self-assessed health status (SAHS). For SAHS individuals are asked to rate their current health on a five-level scale ranging from poor to excellent. Table : Joint frequency distribution of self assessed health and use of medications for Australians in 1995 Self-assessed health Excellent Very good Good Fair Рoor Totals Use medication 10.7 20.7 20.0 9.7 3.5 64.6 No medication 9.4 13.7 9.7 2.2 0.4 35.4 Totals 20.1 34,4 29.7 11.9 3.9 100.0 Using the distribution as an estimate of the population distribution, which of the following is not correct? Select one: O a. The probability that a randomly selected Australian did not use medication in the last two weeks is 0.354 O b. The probability that a randomly selected Australian is in fair health is 0.119 O c. Australians in poor health are much more likely to be using medications than not using medications O d. The conditional probability of being in excellent health given not using medications is equal to the probability of being in excellent health.
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