3.A resolution concerning affirmative action for women has been proposed for mun

Question

3.A resolution concerning affirmative action for women has been proposed for municipal employees. One hundred eighty subjects have been selected at random to determine whether there is a significant difference in the reaction to the proposal between those aged under 30 and those aged 30 or more. The data are given in the table below. AGE DISLIKE NO OPINION LIKE 30 or more 59 23 18 under 30 46 12 a)Form suitable null and alternative hypotheses, and test whether the reaction depends on the age group of the subject. Use a 1% level of significance. b)Is the proportion of those aged under 30 who like the proposal significantly greater than 10%? Find the p-value of the suitable test statistic, and base your conclusion on the p-value.

Explanation / Answer

a)

null: reaction and age are independent

alternate: - both are dependent

b)

df = 2

TS = 0.617

p-value = 0.734495

c1 c2 c3 sum r1 59 23 18 100 r2 46 22 12 80 sum 105 45 30 180 Eij 1 2 3 expected 1 58.33333 25 16.66667 2 46.66667 20 13.33333 0i 59 23 18 46 22 12 Ei 58.33333 25 16.66667 46.66667 20 13.33333333 sum (Oi-Ei)^2/Ei 0.007619 0.16 0.106667 0.009524 0.2 0.133333333 0.617143 p-value 0.734495

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