A polling organization conducted surveys of randomly selected citizens 18 years old or older and asked whether they support the legalization of medicinal marijuana. The frequencies of reported opinions, by age group, are presented in the table

Age 18 to 29 30 to 49 50 or older

For 130 82 144

Against 73 64 97

a) Test whether the proportion of citizens within each age group who are for or against the legalization of medicinal marijuana are the same at

alpha

equals0.1.

State the hypotheses. Choose the correct answer below.

A.)Upper H 0: O1equalsE1 and O2 equalsE2 and O3 equalsE3

Upper H 1: O1not equalsE1 or O2not equalsE2 or O3not equalsE3

B.)Upper H 0: p1equalsp2equalsp3

Upper H 1 : At least one of the proportions is different from the others.

C.)Upper H 0: Opinion and age are independent.

Upper H 1: Opinion and age are dependent.

Compute the P-value.

nothing (Round to three decimal places as needed.)

Make the proper conclusion. Choose the correct answer below.

A.)The P-value is less than alpha, so reject, Upper H 0. There is not, sufficient evidence that the proportions are different.

B.)The P-value is greater than alpha, so reject, Upper H 0. There is sufficient evidence that the proportions are different

C.)The P-value is less than alpha, so do not reject Upper H 0. There is sufficient evidence that the proportions are different.

D.)The P-value is greater than alpha , so do not reject

Upper H 0. There is not sufficient evidence that the proportions are different.

(b) Construct a conditional distribution of opinion by age and draw a bar graph.

18 to 29 30 to 49 50 or older

For __________ ____________ __________

Against ________ ____________ ___________

(Round to four decimal places as needed.)