25 of 25 (1complete) Y This The contingency table shows the results of a random

Question

25 of 25 (1complete) Y This The contingency table shows the results of a random sample of former smokers before they were habit-free is related to gender? Penorm the indicated chi-squane by the number of smes they tried to quit smoking before tmey were habe tree and gender Al a-005, can you b independence best tby completing parts (a) through (e) below conclade that the number of tim 272 Female 139 82 (a) idenaly the ciaim and state Ho and M Ho The number of times former smokers tried to qut H, The number of times former smokers tried to quit Which hypothesis is the claim? O Null thypothesis O Alternative hypothesis (b) Determine the degrees of freedom, find the cribcal value, and identity the rejection region Calculate the degrees of freedom Find the crtical value «D(Round to three decima" peaces as needed ) Which region below is the correct reiection reaion? Click to select your answerts)

Explanation / Answer

Ans:

a)

H0:The number of times former smokers tried to quit is not related to gender(i.e. independent of gender)

Ha:The number of times former smokers tried to quit is related to gender(i.e. not independent of gender)

Claim is Alternative hypothesis.

b)

df=(2-1)*(3-1)=2

critical chi square value=CHIINV(0.05,2)=5.991

c)

Test statistic:

Chi square=0.098

p-value=CHIDIST(0.098,2)=0.9520

As,p-value>0.05,we do no reject the null hypothesis.

There is not sufficient evidence to support the claim that The number of times former smokers tried to quit is related to gender.

Observed feq.(fo) Gender 1 2-3 4 or more Total Male 272 255 147 674 Female 144 139 82 365 Total= 416 394 229 1039 Expected freq.(fe) Gender 1 2-3 4 or more Total Male 269.86 255.59 148.55 674 Female 146.14 138.41 80.45 365 Total= 416 394 229 1039 Chi square=(fo-fe)^2/fe Gender 1 2-3 4 or more Total Male 0.017 0.001 0.016 0.035 Female 0.031 0.002 0.030 0.064 Total= 0.048 0.004 0.046 0.098

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