Test Hypotheses About a Population Proportion
-A Survey Claims That $90 \%$

question 125

Multiple Choice

Test Hypotheses about a Population Proportion
-A survey claims that 9 out of 10 doctors (i.e., $90 \%$ ) recommend brand $Z$ for their patients who have children. To test this claim against the alternative that the actual proportion of doctors who recommend brand $Z$ is less than $90 \%$ , a random sample of doctors was taken. Suppose the test statistic is $\mathrm { z } = - 1.95$ . Can we conclude that $\mathrm { H } _ { 0 }$ should be rejected at the a) $\alpha = 0.10$ , b) $\alpha = 0.05$ , and c) $\alpha = 0.01$ level?

• A) a) yes; b) yes; c) no
• B) a) yes; b) yes; c) yes
• C) a) no; b) no; c) no
• D) a) no; b) no; c) yes

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Definitions:

Birth Defect

A physical or biochemical abnormality present at birth that can lead to mental or physical disabilities.

Blindness

A condition characterized by the lack of visual perception due to physiological or neurological factors.

Deafness

A condition of partial or total inability to hear, which can severely affect communication and may require adaptations such as sign language or cochlear implants.

Ultrasound

A medical imaging technique that uses high-frequency sound waves to create images of structures within the body.