Question

a certain drug is used to treat asthma. in a clinical trial of the drug, 16 of 267 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 0.01 significance level to complete parts (a) through (e) below. 1 - propztest prop < 0.08 z = - 1.209122358 p = 0.1133079204 \hat { p } = 0.0599250936 n = 267 a. is the test two - tailed, left - tailed, or right - tailed? two - tailed test left - tailed test right tailed test b. what is the test statistic? z = (round to two decimal places as needed.)

Explanation:

Step1: Identify the test statistic from the calculator display

The calculator display shows \(z = - 1.209122358\)

Step2: Round the test statistic

Rounding \( - 1.209122358\) to two decimal places. We look at the third decimal digit, which is \(9\). Since \(9\gt5\), we round up the second decimal digit. So \(-1.209122358\approx - 1.21\)

Answer:

\(z=-1.21\)