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 = 0.45 (round to two decimal places as needed.) c. what is the p-value? p-value = (round to three decimal places as needed.)

Explanation:

Step1: Identify the P - value from the calculator display

The calculator display shows \(p = 0.6724576902\)

Step2: Round the P - value to three decimal places

Rounding \(0.6724576902\) to three decimal places, we look at the fourth decimal digit. The fourth decimal digit is \(4\), and since \(4<5\), we keep the third decimal digit as it is.

Answer:

\(P - value=0.672\)