Question

a certain drug is used to treat asthma. in a clinical trial of the drug, 18 of 295 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 12% 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 < 0.12
z = - 3.117498701
p = 0.0009119630
\\( \hat { p } = 0.0610169492 \\)
n = 295
a. is the test two - tailed, left - tailed, or right - tailed?
two - tailed test
right tailed test
left - tailed test
b. what is the test statistic?
z = \\( \square \\)
(round to two decimal places as needed )

Explanation:

Step1: Identify the test statistic from the calculator display

The calculator display shows \( z=-3.117498701 \).

Step2: Round the test statistic

We need to round \( -3.117498701 \) to two decimal places. Looking at the third decimal place (7), we round up the second decimal place. So, \( -3.117498701\approx - 3.12\).

Answer:

\(z = - 3.12\)