Question

a certain drug is used to treat asthma. in a clinical trial of the drug, 22 of 251 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 = 0.446709780 p = 0.6724576902 p = 0.0876494024 n = 251 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 statistic from the calculator display

The calculator display shows \(z = 0.446709780\)

Step2: Round the test statistic to two decimal places

We look at the third decimal digit. For \(z = 0.446709780\), the third decimal is \(6\). Using the rounding rule (if the third decimal is \(5\) or more, we round up the second decimal), we get \(z\approx0.45\)

Answer:

\(z = 0.45\)