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. e. what is the final conclusion? a. there is not sufficient evidence to warrant rejection of the claim that less than 8% of treated subjects experienced headaches. b. there is sufficient evidence to warrant rejection of the claim that less than 8% of treated subjects experienced headaches. c. there is sufficient evidence to support the claim that less than 8% of treated subjects experienced headaches. d. there is not sufficient evidence to support the claim that less than 8% of treated subjects experienced headaches.

Explanation:

• In hypothesis testing, if the \(p -\)value \(> \alpha\) (significance level), we fail to reject the null hypothesis.
• Here, the significance level \(\alpha = 0.01\) and the \(p -\)value \(=0.1133079204\). Since \(0.1133079204>0.01\), we fail to reject the null hypothesis.

Answer:

A. There is not sufficient evidence to warrant rejection of the claim that less than 8% of treated subjects experienced headaches.