In a survey of 3,950 travelers, 1,529 said that location was very important for

Question

In a survey of 3,950 travelers, 1,529 said that location was very important for choosing a hotel and 1,213 said that reputation was very important in choosing an airline. Complete parts (a) through (c) below.

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

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

Explanation / Answer

Answers to the posted question are:

We will give the confidence interval for the population prorpotion of travelers . therefore, :

p +/- Z*sqrt(p*p'/n),

p = 1529/3950 = .387

Therefore confidence interval is .387 +/- 1.96*sqrt( .387*.613/3950) = .372 to .402

b.

p +/- Z*sqrt(p*p'/n),

p = 1213/3950 = .307

Therefore confidence interval is .307 +/- 1.96*sqrt( .307*.693/3950) = .293 to .321

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