Question

question #12

A certain drug is used to treat asthma. In a clinical trial of the drug, 27 of 257 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 11% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. 1-Prop Test prop<0.11 2- -0.253169571 p=0.4000608626 D-0.1050583658 n-257 a. Is the test two-tailed, left-tailed, or right-tailed? O Left-tailed test O Two-tailed test • Right tailed test b. What is the test statistic? (Round to two decimal places as needed.) c. What is the P value? P-value (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. O A. HopX0.11 O B. Ho: P<0.11 OC. Hy: p=0.11 OD. Ho:p>0.11

Answer 1

a) Left tailed test

b) The value of test statistic z = -0.2532

c) The P-value is = 0.4

d) The null hypothesis is -> c) H₀ : p = 0.11

ans-> D) Fail to reject the null hypothesis because the P-value is greater than the significance level $\alpha$

e) ans-> D) There is not sufficient evidence to support the claim that less than 11% of treated subjects experienced headaches.