The contingency table shows the eeults of a random sam pa o or mer eno Perfonm t

Question

The contingency table shows the eeults of a random sam pa o or mer eno Perfonm the indicated c s by the number of mee hey red to quit en king betre they re habit free and gender. At 0.01 can ou ondude that the num be ofti mee they ed to quit before they ere ha tree is elated o gender? ndence test b (e) below. Number of times tried to quit before habit-free 273 147 2-3 256 137 150 82 Femalo (a) ldendry the daim and sate H and H : The number of times former smokers tried to qui H: The number of times formar smokars tried to quit Which hypothesis is the claim? Alternative hypothesis O Null hypothesis (b) Detemine he degrees of freodom, find the crtical value, and identry the rejection region Calculate the dogrees of freedom. Find the critical value. -D(Round to tree decimal places as needed ) Which region below is the corect rejecion region? (c) Calculate the test statistic. If conveniet, usa technology (Round to three decimal places as needed) (d) Decide whether to ejector fail to reject the rull hypothesis.

Explanation / Answer

Solution:

Expected value table:

using formula

expected value=corr. row total*corr.col total/grand total

hence,

(a)H0:The number of time former smoker tries to quit before they were habit-free is independent to gender.

H1:The number of time former smoker tries to quit before they were habit-free is related to gender.

null hypothesis is claim.since p value=0.99

(b)Df=(3-1)*(2-1)=2

chi calculated=0.0152=sum((observed-exped)^2/exped)

p-value=.992408

(c) critical value=0.1025

as critical value>chi calculate, hence we fail to reject the null hypothesis.

(d) accept the null hypothesis.

1 2-3 4 more male 270.90 255.36 150.74 female 147.10 137.64 81.26

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