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 = 0.569473596 p = 0.7154826065 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 b. what is the test statistic? z = (round to two decimal places as needed.)

Explanation:

Step1: Identify the test type

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 \(p_0 = 0.08\) in this case), it is a left - tailed test.

Step2: Determine the test statistic

From the calculator display, the value of \(z=-0.57\) (rounded to two decimal places).

Answer:

a. Left - tailed test
b. \(z=-0.57\)