Question

100

A social researcher decides to test whether an individual's age and their opinion on the legalization of marijuana are independent. The researcher randomly interviews 1500 individuals to determine their opinion regarding the legalization of marijuana. The results are given in the following contingency table. OPINION ON The LEGALIZATION OF MARIJUANA AGES FOR AGAINST UNDECIDED Row Totals 17 - 27 a) 170 b) 100 c) 130 400 28 - 38 d) 155 e) 70 f) 125 350 39-49 g) 130 h) 100 i) 120 350 50 & Over j) 145 k) 130 1) 125 400 Column Totals 600 400 500 1500 For this hypothesis test, can the social researcher conclude that an individual's age and their opinion on the legalization of marijuana are dependent at a = 1%?

a)cant be determined

b)insufficient info

c)yes

d)no

E)none of these

Answer 1

From the given information,

By using calculator,

P-value= 0.007 < level of significance (0.01)

Hence, Reject null hypothesis.

We can conclude that, age and opinion are dependent.

Hence, Yes is the required correct answer.

i.e., Option c. is correct.

Thank you.