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 325 men, 120 preferred white wine and of a sample of 500 women, 210 preferred white wine Using a 0 05 level of significance, test this claim INPUT Statistics required for computation 210 Count of events in sample 1 500 sample 1 size 120 Count of events in Sample 2 325 sample 2 size 0 05 level of significance 0 hypothesized difference OUTPUT Output values Sample 1 Proportion 42 00 Sample 2 Proportion 36 92 Proportion Difference 5 08 Z 2 (One Tail) 1 645 Z 2 (Two Tail) 1 960 Standard Error 0 035 Hypothesized Difference 0 000 One Tail (H 0 p1 p2 0) Test Statistics (Z Test) 1 463 p Value 0 928 One Tail (H 0 p1 p2 0) Test Statistics (Z Test) 1 463 p Value 0 072 Two Tail (H 0 p1 p2 0) Test Statistics (Z Test) 1 454 p Value 0 146 Question 1 Which is correct a This is a one tail test andthedata does support the claimthat higher proportion of women prefer white wine as compared to men b This is a one tail test andthedata doesnot support the claimthat higher proportion of women prefer white wine as compared to men c This is a two tail test andthedata does support the claimthat higher proportion of women prefer white wine as compared to men d This is a two tail test andthedata does not support the claim that higher proportion of women prefer white wine as compared to men Question 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 )

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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

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 325 men, 120 preferred white wine and of a sample of 500 women, 210 preferred white wine. Using a 0.05 level of significance, test this claim.

INPUT	Statistics required for computation
210	= Count of events in sample 1
500	= sample 1 size
120	= Count of events in Sample 2
325	= sample 2 size
0.05	= level of significance
0	= hypothesized difference
OUTPUT	Output values
Sample 1 Proportion	42.00%
Sample 2 Proportion	36.92%
Proportion Difference	5.08%
Z _/2 (One-Tail)	1.645
Z _/2 (Two-Tail)	1.960
Standard Error	0.035
Hypothesized Difference	0.000
One-Tail (H₀: p1 p2 0)
Test Statistics (Z-Test)	1.463
p-Value	0.928
One-Tail(H₀: p1 p2 0)
Test Statistics (Z-Test)	1.463
p-Value	0.072
Two-Tail(H₀: p1 p2 = 0)
Test Statistics (Z-Test)	1.454
p-Value	0.146

Question 1: Which is correct?

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

b. This is aone-tailtest andthedatadoesnotsupport the claimthat higher proportion of women prefer white wine as compared to men.

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

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

Question 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).