A certain drug is used to treat asthma In a clinical trial of the drug, 21 of 25

Question

A certain drug is used to treat asthma In a clinical trial of the drug, 21 of 253 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 9% 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. a. Is the test two-tailed, left-tailed, or right-tailed? O Left-tailed test O Two-tailed test O Right tailed test 1-Prop ZTest prop 0.09 z 0.388840108 p 0.34 86972146 p 0.08300 39526 n 253

Explanation / Answer

Sol:

H0:p=9%=0.09

H1:p<0.09

left tail tesrt

alpha=0.01

test statistic:

z=p^-p/sqrt(p(1-p)/n)

p^=x/n=21/253=0.083

z=0.083-0.09/sqrt(0.09(1-0.09)/253]
   =-0.389

p=0.348

p>0.01'

p value greater than significance level

fail to reject null hypothesis

Accept null hypoythesis.

there is no sufficient eidence to support the claim.

Now anwers:

SOLUTION A

left tail

SOLUTIONB:

z=-0.39

SOLUTIONC

p value=0.3487

SOLUTIOND:

ANSWER B,FAIL TO REJECT NULL HYPOTHESIS P> ALPHA,B

SOLUTION E:

ANSWER D

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