A local winery wants to create better marketing campaigns for its white wines by understanding its customers better. One of the general beliefs has been that higher proportion of women prefer white wine as compared to men. The company has conducted a research study in its local winery on white wine preference. Of a sample of 400 men, 120 preferred white wine and of a sample of 500 women, 170 preferred white wine. Using a 0.05 level of significance, test this claim. INPUT 170 = Count of events in sample 1 500 = sample 1 size 120 = Count of events in Sample 2 400 = sample 2 size 0.05 = level of significance 0 = hypothesized difference OUTPUT Sample 1 Proportion 34.00% Sample 2 Proportion 30.00% Proportion Difference 4.00% Z a 2 (One-Tail) 1.645 Z a 2 (Two-Tail) 1.960Z a 2 (Two-Tail) 1.960 Standard Error 0.031 Hypothesized Difference 0.000 One-Tail (Ho: p1 - p2 2 0) Test Statistics (Z-Test) 1.282 p- Value 0.900 One-Tail (Ho: p1 - p2 =0) Test Statistics (Z-Test) 1.282 p-Value 0.100 Two-Tail (Ho: p1 - p2 = 0) Test Statistics (Z-Test) 1.276 p- Value 0.202This is a one-tail test and the data does support the claim that higher proportion of women prefer white wine as compared to men. This is a one-tail test and the data does not support the claim that higher proportion of women prefer white wine as compared to men. This is a two-tail test and the data does support the claim that higher proportion of women prefer white wine as compared to men. This is a two-tail test and the data does not support the claim that higher proportion of women prefer white wine as compared to men