A study of seat belt use is summarized in the table below. Test the claim that t

Question

A study of seat belt use is summarized in the table below. Test the claim that the amount of smoking is independent of seat belt use. Use the table below and a significance of 0.05 to obtain data to fill in the blanks belovw Number of cigarettes smoked 0 1-14 15 - 34 35 and over Wears Seat Belt 175 20 42 Doesn't Wear SB 149 17 The Null hypothesis is The Alternate hypothesis is The Test statistic is The Critical Value is the Null hypothesis because Resulting in The P Value is: Resulting in he Null hypothesis because The conclusion is

Explanation / Answer

null hypothesis: amount of smoking and seat belt usage are independent

alternate hypothesis: amount of smoking and seat belt usage are dependent

applying chi square test of independence:

from abvoe test staitisitc =1.3582

for (row-1)*(column-1) =(2-1)*(4-1)=3 degree of freedom and 0.01 l;evel critical value =7.8147

resulting in failure to reject the null hypothesis because test statistic is less than critical value

the p value is 0.7154

resulting in failure to reject the null hypothesis because p value is greater than 0.05 level

the conclusion is  amount of smoking and seat belt usage are independent

Observed O 0 1-14 15-34 >35 Total wears 175 20 42 6 243 does not wear 149 17 41 9 216 Total 324 37 83 15 459 Expected E=rowtotal*column total/grand total 0 1-14 15-34 >35 Total wears 171.529 19.588 43.941 7.941 243 does not wear 152.471 17.412 39.059 7.059 216 Total 324 37 83 15 459 chi square =(O-E)^2/E 0 1-14 15-34 >35 Total wears 0.0702 0.0087 0.0858 0.4745 0.639 does not wear 0.0790 0.0097 0.0965 0.5338 0.719 Total 0.149 0.018 0.182 1.008 1.3582

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