2727 278278 99?% 0.010.01 significance level to complete parts? (a) through? (e)

Question

2727

278278

99?%

0.010.01

significance level to complete parts? (a) through? (e) below.

A certain drug is used to treat asthma. In a clinical trial of the? drug,

2727

of

278278

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

99?%

of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a

0.010.01

significance level to complete parts? (a) through? (e) below.

Explanation / Answer

p(hat)=27/278= 0.09712

n= 278

H0: P= 0.09

H1: P< 0.09 Left tail test

alpha= 0.01

Test Statistics

Z= (p(hat)-P)/sqrt(p*q/n)

=(0.09712-0.09)/sqrt(0.09*0.91/278)

=0.41495

P-value=(Z<0.41495))=0.660912521

rounded p-value=0.6609

Decision making

P-value > alpha fail to reject H0

0.0746>0.05 Fail to reject H0

there is not enough evidence to support the claim that population proportion is less than 9 %

...............

answers

a) left tail test

b) Z test statistics =0.41

c)p-value =0.6609

d) H0 : p=0.09

fail to reject the null hypothesis because p-value is greater than the significance level alpha.

there is not sufficient evidence to support the claim that less than 9% of treated subjects experienced headaches.

.................

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