Question

a certain drug is used to treat asthma. in a clinical trial of the drug, 26 of 292 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 8% 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. 1 - propztest prop < 0.08 z = 0.569473598 p = 0.7154826085 \hat{p} = 0.0890410959 n = 292 a. is the test two - tailed, left - tailed, or right - tailed? right tailed test left - tailed test two - tailed test

Explanation:

The claim is that less than 8% of treated subjects experienced headaches. In hypothesis testing, when the alternative hypothesis is of the form \(H_1: p < p_0\) (where \(p\) is the population proportion and \(p_0 = 0.08\) in this case), the test is left - tailed. The direction of the inequality in the alternative hypothesis (\(<\)) determines the tail of the test.

Answer:

Left - tailed test