Question

In a study of 25 smokers who tried to quit smoking with nicotine patch therapy, 14 were smoking one year after the treatment. Use the sign test with a 0.01 significance level to test the claim that among smokers who try to quit with nicotine patch therapy, the majority are smoking a year after the treatment.



a) Identify the correct HYPOTHESES used in a hypothesis test of the claim.

b) Identify the value of the TEST STATISTIC used in a hypothesis test of the claim.

c) Identify the value of the CRITICAL VALUE used in a hypothesis test of the claim.

d) Identify the CONCLUSION of a hypothesis test of the claim.

Answer 1

Answer:

a)

To identify the correct hypothesis used in a hypothesis test of the claim

The hypothesis testing for the accompanying ought to be to check the mean likelihood among smokers who endeavor to stop with nicotine fix treatment, the lion's share are smoking a year after the treatment.

so., p>0.5 is the speculation under test where p is the likelihood among smokers who attempt to stop with nicotine fix treatment

The null hypothesis here is Ho: p = 0.5 &

the alternative hypothesis is H1: p>0.5

b)

To identify the value of test statistic used in a hypothesis test of the claim

p bar = x/n

= 14/25

p bar = 0.56

q bar = 1 - 0.56

q bar = 0.44

consider,

Z = (p bar - p)/sqrt(p(1-p)/n)

alpha = 0.01

Z = (0.56-0.5)/sqrt(0.5*0.5/25)

Z = 0.8

c)

To give the critical value which are used in hypothesis test of claim

Critical value for 99% confidence interval  = -2.33

d)

To identify the conclusion of a hypothesis test of the claim

So that we conclude that there is no sufficient evidence to support the claim