Problem
A certain drug is used to treat asthma. In a clinical trial of the drug, 29 of 261 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than $9 \%$ of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. \[ \begin{array}{|l|} \hline \text { 1-PropZTest } \\ \text { prop }<0.09 \\ z=1.191761618 \\ p=0.8833226352 \\ \hat{p}=0.1111111111 \\ n=261 \end{array} \] a. Is the test two-tailed, left-tailed, or right-tailed? Two-tailed test Left-tailed test Right tailed test
Solution
Step 1 ：The question is asking whether the test is two-tailed, left-tailed, or right-tailed. This is determined by the alternative hypothesis. In this case, the alternative hypothesis is that the proportion is less than 0.09. This suggests that we are looking for a decrease in the proportion, which corresponds to a left-tailed test.
Step 2 ：Final Answer: \(\boxed{\text{The test is a Left-tailed test}}\)
