Consider the following data set: (a) Complete the table. (b) Calculate the expec

Question

Consider the following data set:

(a) Complete the table.

(b) Calculate the expected frequencies (see pages 198-199 in the Pineapple book).

(c) Test whether the two variables are associated (dependent). State the hypotheses.

(d) Perform an appropriate test of hypotheses. Report the test statistic, p-value, and make a decision. Copy and paste relevant test results.

(e) Interpret the p-value. Be sure to answer the research question.

Republican Democrat Independent Total Support the death penalty 120 100 13 Opposes the death penalty 60 45 20 Does not know/Not sure 25 34 11 Total

Explanation / Answer

a)

b)

c)null hypothesis: Ho: death penalty decision is independent of a person;s political affiliation

alternate hypothesis: death penalty decision is dependent of a person;s political affiliation

d)applying chi square test of independence on above:

here test statistic =15.641

degree of freedom =(rows-1)*(columns-1)=(3-1)*(3-1)=4

for 4 degree of freedom and above test stat p value =0.0035

as p value is significantly less ; we reject null hypothesis.

we have sufficient evidence to conclude that death penalty decision is dependent of a person;s political affiliation

e) p vlaue is the highest level of significance at whcih we can reject null hypothesis.

Observed O Republican Democrat Independent Total Support the death penalty 120 100 13 233 Opposes the death penalty 60 45 20 125 Does not know/Not sure 25 34 11 70 Total 205 179 44 428

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