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In a survey of 3,641 ​travelers 1,536 said that location was very important for choosing a...

In a survey of 3,641 ​travelers 1,536 said that location was very important for choosing a hotel and 1,185 said that reputation was very important in choosing an airline.

(a) Construct a 95​% confidence interval estimate for the population proportion of travelers who said that location was very important for choosing a hotel.

0.4059 ≤ π ≤ 0.4379 (Ans.)

(b) Construct a 95​% confidence interval estimate for the population proportion of travelers who said that reputation was very important in choosing an airline.

0.3103 ≤ π ≤ 0.3407 (Ans.)

(c) Write a short summary of the information derived from​ (a) and​ (b). Which of the following is the best summary of the information derived from​ (a)? Choose any one of them:

A. One can be 95​% confident that the population proportion of all travelers who said that location was very important for choosing a hotel lies within the interval in​(a).

B. There is a 95​% probability that the population proportion of all travelers who said that location was very important for choosing a hotel lies within the interval in​(a).

C. There is a 95​% probability that the sample proportion of all travelers who said that location was very important for choosing a hotel lies within the interval in​ (a).

D. One can be 95​% confident that the sample proportion of all travelers who said that location was very important for choosing a hotel lies within the interval in​(a).

Ans.=?

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