Question

You are a travel agent and wish to estimate, with 98% confidence, the proportion of vacationers who use an online service or the Internet to make reservations for lodging. Your estimate must be accurate by 4% of the population proportion. (Please show your work)

a.) If no preliminary estimate is available, find the minimum sample size needed.

b.) Find the minimum sample size needed, using a prior study that found that 10% of the respondents said they used an online service or the Internet to make reservations.

Answer 1

Answer:

Given Data

With 98% confidence, the proportion of vacationers who use an online service or the Internet to make reservations for lodging.

Accurate by 4% of the population proportion

a.) If no preliminary estimate is available, find the minimum sample size needed.

Assume =0.5

Since no preliminary estimate is available.

Then

= 0.5

C = 0.98

= 2.33

E = 0.04

= 848.3

849

(Round to nearest decimal)

b.) Find the minimum sample size needed, using a prior study that found that 10% of the respondents said they used an online service or the Internet to make reservations.

10%

p = 0.10

q = 1-0.10

= 0.9

C = 0.98

= 2.33

E = 0.04

= 305.4

   306

(Round to nearest decimal)

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