Question

Gender Male Female Total Party ID by Gender Party Identification Democrat Independent Republican 120 163 85 247 205 107 367 368 192 Total 368 559 927 a. Identify the response variable and the explanatory variable. Choose the correct answer below. A. Party identification is the explanatory variable and gender is the response variable. 'B. Gender is the explanatory variable and party identification is the response variable. b. What proportion of sampled individuals is male and Republican, (ii) female and Republican? The proportion of sampled individuals who are male and Republican is 0.09 (Round to two decimal places as needed.) (ii) The proportion of sampled individuals who are female and Republican is 0.12. (Round to two decimal places as needed.) c. What proportion of the overall sample is (0) male, () Republican? (1) The proportion of the sample that is male is (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Help Me Solve This View an Example Get More Help 9.1 20.5 7.2 15.7 10.8 7.1 19.6 6.1 18.1 19.1 23.3 20.7 10.6 15.8 15.2 16.5 18.4 24.6 7.3 8.8 22.3 18.8 10.1 26.9 17.7 12.3 21.6 29.6 Clear All Check

Answer 1

a. The explanatory variable is gender, and the response variable is party identification.

b. To find the proportion of sampled individuals who are male and Republican, we look at the intersection of the male category and the Republican category. From the table, we can see that there are 85 individuals who are male and Republican. To find the proportion, we divide this number by the total sample size of 927:

Proportion of males who are Republican = 85 / 927 ≈ 0.09 (rounded to two decimal places)

Similarly, to find the proportion of sampled individuals who are female and Republican, we look at the intersection of the female category and the Republican category. From the table, we can see that there are 192 individuals who are female and Republican. To find the proportion, we divide this number by the total sample size of 927:

Proportion of females who are Republican = 192 / 927 ≈ 0.21 (rounded to two decimal places)

c. To find the proportion of the overall sample that is male and Republican, we divide the number of males who are Republican (85) by the total sample size (927):

Proportion of the sample that is male and Republican = 85 / 927 ≈ 0.09 (rounded to two decimal places)

To find the proportion of the overall sample that is female and Republican, we divide the number of females who are Republican (192) by the total sample size (927):

Proportion of the sample that is female and Republican = 192 / 927 ≈ 0.21 (rounded to two decimal places)

Step-by-step explanation: