Question

A certain drug is used to treat asthma. In a clinical trial of the drug, 19 of 250 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 = -0.233126202 p=0.4078317046 p=0.0760000000 n = 250 b. What is the test statistic? 7= (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. Ho:p<0.08 OB. Ho:p> 0.08 0C. Họ p = 0.08 OD. Ho:p +0.08 Click to select your answer(s).

Answer 1

Sot Given, x= 19 na 250 19 250 0.076 The hypothesis being tested is, Hoips 0.08 Haip<0.08 This is a left failed test b) The test statistic, z = Pop P(1-b) 0.076 -0.08 (0.08) (-0-0) 250 = -0.2331262 t - 0.23 e-value = P(Z <-0.23) [it is left Tailed text] 0.409046 ~0.4) ره The null hypothenin is Ho: P = 0.08 Here, P-value (0.41) > & (=0.01), so fail to Reject the null hypothesin P-value is greater fail to reject the null hypothenis because Than the significance level. There is not sufficient evidence to support the claim that less than 8% of treated subjects experienced headachen.