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Mathematics, 06.02.2022 01:50 moonk7733

You are conducting a survey considering a prospective 5,000-acre private nature and recreational park. The park site, located in the sand hill region, has natural stands of longleaf pine - including some that are over 120 years of age. A number of colonies of the endangered red-cockaded woodpecker, or RCW, are located on isolated portions of the tract. The prospective park includes a 300-acre, fabricated lake stocked with bass. A small fishing pier, accessible to visitors, runs into the lake. Hiking trails permit individuals to reach most parts of the park. You are considering various park designs. To begin with, you are considering the following two attributes (and attribute levels)

Whether visitors should be able to launch their own boats in the lake (Yes, or No)
The type of overnight accommodation to be provided (tents, or cabins)
You construct a full-factorial design and measure if prospective visitors are willing to visit the park. The respondents (prospective visitors) read the descriptions combining accommodations and the facility to launch their own boats, and respond Yes or No to the question asking if they are willing to visit the park.

The sample size and the responses for each of the four conditions (cells) appear below.

The sample size and the responses for each of the four conditions (cells) appear below

Overnight accommodation –Cabin

Overnight accommodation – Tent

Launch their own boats – Yes

Sample size = 30

Yes (willing to visit the park) = 70%

Sample size = 30

Yes (willing to visit the park) = 60%

Launch their own boats – No

Sample size = 30

Yes (willing to visit the park) = 50%

Sample size = 30

Yes (willing to visit the park) = 30%

Does a preference for accommodation (Cabin or Tent) moderate how much a visitor would like to be able to launch his or her own boat in the lake? If so, write out the simple effects (i. e., simple effects of the preference to be able to launch their own boats).

a. There is no interaction effect.

b. Allowing visitors to launch their own boats increases their willingness to visit the part by 40% (70% to 30%) when the park provides cabin accommodations

Allowing visitors to launch their own boats increases their willingness to visit the part by 10% (60% to 50%) when the park provides tent accommodations

c. Allowing visitors to launch their own boats increases their willingness to visit the part by 10% (70% to 60%) when the park provides cabin accommodations

Allowing visitors to launch their own boats increases their willingness to visit the part by 20% (50% to 30%) when the park provides tent accommodations

d. Allowing visitors to launch their own boats increases their willingness to visit the part by 20% (70% to 50%) when the park provides cabin accommodations

Allowing visitors to launch their own boats increases their willingness to visit the part by 30% (60% to 30%) when the park provides tent accommodations

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