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ira [324]
2 years ago
9

100,000 random people were tested for Condition A. Roberto's doctor told him he tested positive for Condition A. If the test is

99% accurate and Condition A is rare—one out of every thousand people have it. What is the probability that testing positive means Roberto has Condition A?
answer choices

99.0%

1%

9%

99.9%
Mathematics
2 answers:
Studentka2010 [4]2 years ago
7 1
The answer would be: <span>99.0%
</span>
The disease is rare with a prevalence of <span>one out of every thousand people have it. That means, the chance of Roberto has the disease without any test would be 1/1000 or 0.1%
The test sensitivity is 99%, which mean 99% of people with positive test result would have the disease. The chance is should not be influenced by the disease prevalence. </span>
vekshin12 years ago
6 0
He would have a 9% of having the rare condition.

Hope this helps :)
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2 years ago
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\chi^2_{crit}= 5.991

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Step-by-step explanation:

For this case we want to test the following hypothesis:

Null hypothesis: College graduation status and cola preference are independent

Alternative hypothesis: College graduation status and cola preference are dependent

For this case we got a calculated statistic of:

\chi^2 = 0.579

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\chi^2_{crit}= 5.991

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent

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