Does the order in which wine is presented make a difference? Several choices of wine are presented one at a time, and the subject is then asked to choose his or her preferred wine at the end of the squence. In one study, subjects were asked to taste two wine samples in sequence. Both samples given to a subject were the SAME wine, although the subjects were expecting to taste two different samples of a particular variety. Of the 32 subjects in the study, 22 selected the wine presented first when presented with two identical wine samples. QUESTIONS: A) give a 95% confidence interval for the proportion of subjects who would select the first choice presented. B) The subjects were recruited in Ontario, Canada, via adervtisments to participate in a study of "attitudes and values toward wine". What assumption are you making about these subjects?.

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09-03-2020
Mathematics

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Does the order in which wine is presented make a difference? Several choices of wine are presented one at a time, and the subject is then asked to choose his or her preferred wine at the end of the squence. In one study, subjects were asked to taste two wine samples in sequence. Both samples given to a subject were the SAME wine, although the subjects were expecting to taste two different samples of a particular variety. Of the 32 subjects in the study, 22 selected the wine presented first when presented with two identical wine samples. QUESTIONS: A) give a 95% confidence interval for the proportion of subjects who would select the first choice presented. B) The subjects were recruited in Ontario, Canada, via adervtisments to participate in a study of "attitudes and values toward wine". What assumption are you making about these subjects?.

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Pls help me with my homework

Please help ASAP!!!!!

cchilabert cchilabert · Answer 1 · 2020-03-14T07:44:57+01:00

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: number of individuals that choose the first wine sample out of 32.

The parameter of interest is the proportion of people that selected the first choise presented.

The sample size is 32 and 22 selected the first option so the sample proportion is p'= 22/32= 0.6875 ≅ 0.69

a.

To estimate the population proportion using a confidence interval you have to use the standard normal approximation:

p' ± [tex]Z_{1-\alpha /2}[/tex] * [tex]\sqrt{\frac{p'(1-p')}{n} }[/tex]

[tex]Z_{1-\alpha 2} = Z_{0.975}= 1.965[/tex]

0.69 ± 1.965*[tex]\sqrt{\frac{0.69*0.31}{32} }[/tex]

[0.529;0.851]

Using a confidence level of 95% you'd expect that the interval [0.529;0.851] contains the population proportion of the subjects that selected the first wine choise presented.

I hope it helps!