Question

This Question: 10 pts 1 of 5 complete This Quiz: 25 pts possible o Is there an association between party allation and gender? The accompanying data represent the gender and party affiliation of registered voters based on a random sample of 607 adults. Complete parts (a) through in click the icon to view the disable (4) Construct a frequency marginal distribution Gender Political Party Female Frequency Marginal Male Distribution for Gender Republican 120 Democrat 150 103 Independent 150 179 Frequency Marginal Distribution for Political DODO 000 6) Constructa relative frequency marginal distribution Gender Political Party Female Male Relative frequency marginal distribution Republican 105 120 Democrat Independent 150 179 Relative frequency marginal distribution (Round to three decimal places as needed) (c) What proportion of registered voters considers themselves to be independent? Round to three decimal places as needed.) (9) Construct a conditional distribution of party affiliation by gender. Gender Political Party Female Male Republican Democrat Independent 000- (Round to three decimal places as needed) (e) Draw a bar graph of the conditional distribution found in part (d). Let the red bars left most represent Republican, the blue bars middle represent Democr. and the green bars right most represent independent. Choose the correct graph below. Ос. 0 Female is gender associated with party affiliation? If so, how? Choose the correct answer below. OA No, gender is not associated with party aliation OB. Yes, gender is associated with party affiliation. Males are more likely to be independents and less likely to be Republicans OC. Yes, gender is associated with party affiliation. Males are more likely to be Independents and less ikely to be Democrats.

Answer 1

(a) Frequency marginal distribution

Frequency marginal distribution is nothing but the row and column sum.

Gender

Political party Female Male Frequency marginal distribution for gender

Republican 105 120 225

Democrat 150 103 253

Independent 150 179 329

(Frequency marginal 405 402 807

distribution for

political party)

(b) Relative frequency marginal distribution

The formula of relative marginal frequency is

Marginal frequency Relative marginal frequency = Total frequency

Just divide the row total and column totals by overall total that is 807

Gender

Political party Female Male Relative frequency marginal distribution

Republican 105 120   225/807 = 0.279

Democrat 150 103   253/807 = 0.313

Independent 150 179 329/807 = 0.408

(Relative frequency 405/807 = 0.502 402/807 = 0.498 807/807 = 1

marginal   

distribution)

c) Proportion of registered voters considered themselves as independent

P(Independent ) = total number of independent voter / overall voters = 329 / 807 = 0.408

The proportion of registered voters considered themselves as independent is 0.408

d) Conditional distrinution of party affiliation by gender

Just divide each entry by it's column total. First column total is 405 and the second column total is 402

Gender

Political party Female Male

Republican 105/405 = 0.260 120/402 = 0.299

Democrat 150/405 = 0.370 103/402 = 0.256   

Independent 150/405 = 0.370 179/402 = 0.445

Total 1 1

e) Bar graph of conditional distribution.

0.5 0.45 0.4 0.35 0.3 0.25 Republican Democrat Independent 0.2 0.15 0.1 0.05 0 Female Male

Option B is correct.

f) Option C is correct.

Yes, gender is associated with party affiliation. Males are more likely to be independent and less likely to be democrat. Because the probability of male for independent is 0.445 which is more than probability of male for democrat that is 0.256