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	Statistics required for computation
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	Output values
Sample 1 Proportion	34.00%
Sample 2 Proportion	30.00%
Proportion Difference	4.00%
Z /2(One-Tail)	1.645
Z /2 (Two-Tail)	1.960
Standard Error	0.031
Hypothesized Difference	0.000
One-Tail(H0: p1 p2 0)
Test Statistics (Z-Test)	1.282
p-Value	0.900
One-Tail(H0: p1 p2 0)
Test Statistics (Z-Test)	1.282
p-Value	0.100
Two-Tail (H0: p1 p2 = 0)
Test Statistics (Z-Test)	1.276
p-Value	0.202

1. What is the correct answer?

a. This is a one-tailtest andthedatadoessupport the claimthat higher proportion of women prefer white wine as compared to men.

b. This is a one-tailtest andthedatadoesnotsupport the claim that higher proportion of women prefer white wine as compared to men.

c. This is a two-tailtest andthedatadoessupport the claim that higher proportion of women prefer white wine as compared to men.

d. This is a two-tailtest andthedatadoes notsupport the claim that higher proportion of women prefer white wine as compared to men.

2. Based on the study results presented in the last question,what is the upper bound for the proportion differences between women and men for a95%confidence interval? (Note: Please enter a value with 4 digits after the decimal point. For example, if you computed an upper boundary of 23.456% or .23456, you would enter it here in decimal notation and round it to four digits, thus entering .2346).