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

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