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# A certain drug is used to treat asthma. In a clinical trial of theâ drug, 17 of 258 treated subjects experienced headachesâ (based on data from theâ manufacturer). The accompanying calculator display shows results from a test of the claim that less than 11â% 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 partsâ (a) throughâ (e) below. â 1-PropZTest prop<0.11 z=â2.264337000 p=0.0117766978 p=0.0658914729 n=258 a. Is the testâ two-tailed, left-tailed, orâ right-tailed? b. What is the best statistics? c. What is the P-value? d. What is the nut hypothesis and what do you conclude who det hypothesis? Identify the null hypothesis. A. H0: pâ 0.11. B. H0: p=0.11. C. H0: p<0.11. D. H0: p>0.11. Decide whether to reject the null hypothesis. A. Reject the null hypothesis because theâ P-value is greater than Î±. B. Fail to reject the null hypothesis because theâ P-value is less than or equal to Î±. C. Reject the null hypothesis because theâ P-value is less than or equal to Î±. D. Fail to reject the null hypothesis because theâ P-value is greater than Î± e. What is the finalâ conclusion? A. There is not sufficient evidence to warrant rejection of the claim that less than 11â% of treated subjects experienced headaches. B. There is not sufficient evidence to support the claim that less than 11â% of treated subjects experienced headaches. C. There is sufficient evidence to support the claim that less than 11â% of treated subjects experienced headaches. D. There is sufficient evidence to warrant rejection of the claim that less than 11â% of treated subjects experienced headaches.

Solution :

a). The test is a left tailed test.

b). The sample proportion is :

= 0.065

Determining the Z statistics using the formula :

= -2.31

∴ Z statistics value is -2.31

c). Using the excel function, the P-value is :

P-value = Normsdist(-2.31)

= 0.0104441

d). The null hypothesis is

The level of significance is 0.01

We fail to reject the null hypothesis as the P value is less than or equal to the significant level.

step-by-step explanation:

try remembering the steps

step-by-step explanation:

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