A Self-Administered Pregnancy Test Detects 80% of Those Who Are

question 79

Multiple Choice

A self-administered pregnancy test detects 80% of those who are pregnant but does not detect pregnancy in 20%. It is 92% accurate in indicating women who are not pregnant but indicates 8% of this group as being pregnant. Suppose it is known that 2% of the women in a neighborhood are pregnant. If a woman is chosen at random from those living in this neighborhood, and if the test indicates she is pregnant, what is the probability, rounded to four decimal places, that she really is? ​

• A)Pr(pregnant | tested pregnant) = 0.1949
• B)Pr(pregnant | tested pregnant) = 0.1695
• C)Pr(pregnant | tested pregnant) = 0.2041
• D)Pr(pregnant | tested pregnant) = 0.2000
• E)Pr(pregnant | tested pregnant) = 0.0063

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Definitions:

Ambitious

Having a strong desire to succeed or achieve something, often requiring determination and hard work.

Sociable

Refers to an individual's inclination to seek and enjoy social interactions.

Adventuresome

A characteristic of being willing to take risks or try new experiences, often considered beneficial in exploring diverse career opportunities.

Holland Codes

A set of personality types developed by John Holland that categorizes individuals' preferences for certain work environments and roles, facilitating career guidance.