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.

c. what is the p - value?
p - value = 0.001
(round to three decimal places as needed.)
d. what is the null hypothesis, and what do you conclude about it?
identify the null hypothesis.
○ a. ( h_0: p
eq0.12 )
○ b. ( h_0: p = 0.12 )
○ c. ( h_0: p>0.12 )
○ d. ( h_0: p<0.12 )

Explanation:

In hypothesis testing, the null hypothesis \(H_0\) is a statement of no effect or no difference. When testing a claim about a proportion \(p\), if the claim is \(p < 0.12\) (the alternative hypothesis \(H_1\)), the null hypothesis is the statement that assumes equality. So, \(H_0:p = 0.12\).

Answer:

B. \(H_0:p = 0.12\)