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Assume that a survey of the morning beverage market shows that the primary breakfast beverage for 17% of Canadians is milk. A milk producer in Quebec, where milk is plentiful, believes the figure is higher for Quebec. To test this idea, she contacts a random sample of 550 Quebec residents and asks which primary beverage they consumed for breakfast that day. Suppose 100 replied that milk was the primary beverage. Now, suppose that a uniform prior is assigned to T. Find the predictive probability that the next Quebec resident contacted by the milk producer replies that milk is her/his primary beverage. Note. T = proportion of Quebec residents whose primary breakfast beverage is milk.

Assume that a survey of the morning beverage market shows that the primary breakfast beverage for 17% of Canadians is milk. A milk producer in Quebec, where milk is plentiful, believes the figure is higher for Quebec. To test this idea, she contacts a random sample of 550 Quebec residents and asks which primary beverage they consumed for breakfast that day. Suppose 100 replied that milk was the primary beverage. Now, suppose that a uniform prior is assigned to T. Find the predictive probability that the next Quebec resident contacted by the milk producer replies that milk is her/his primary beverage. Note. T = proportion of Quebec residents whose primary breakfast beverage is milk.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Assume that a survey of the morning beverage market shows that the primary breakfast beverage for 17% of Canadians is milk. A milk producer in Quebec, where milk is plentiful, believes the figure is higher for Quebec. To test this idea, she contacts a random sample of 550 Quebec residents and asks which primary beverage they consumed for breakfast that day. Suppose 100 replied that milk was the primary beverage. Now, suppose that a uniform prior is assigned to T. Find the predictive probability that the next Quebec resident contacted by the milk producer replies that milk is her/his primary beverage. Note. T = proportion of Quebec residents whose primary breakfast beverage is milk. Please round your final answer to 4 decimal places.
Transcribed Image Text:Assume that a survey of the morning beverage market shows that the primary breakfast beverage for 17% of Canadians is milk. A milk producer in Quebec, where milk is plentiful, believes the figure is higher for Quebec. To test this idea, she contacts a random sample of 550 Quebec residents and asks which primary beverage they consumed for breakfast that day. Suppose 100 replied that milk was the primary beverage. Now, suppose that a uniform prior is assigned to T. Find the predictive probability that the next Quebec resident contacted by the milk producer replies that milk is her/his primary beverage. Note. T = proportion of Quebec residents whose primary breakfast beverage is milk. Please round your final answer to 4 decimal places.
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