Snowmobiles in the park Yellowstone National Park surveyed a random sample of 1526 winter visitors to the park. They asked each person whether they owned, rented, or had never used a snowmobile. Respondents were also asked whether they belonged to an environmental organization (like the Sierra Club). The two-way table summarizes the survey responses.

Do these data provide convincing evidence of an association between environmental club membership and snowmobile use for the population of visitors to Yellowstone National Park? Follow the four-step process.

Short Answer

Expert verified

Around 70 percent of environment club members are people who have never used the snowmobile only around 5 percent of Environment club members are snowmobile owners. Snowmobile rentals make up roughly 41% of non-members of the Environment Club.

Step by step solution

01

Given Information

The information on environmental clubs is shown in the below table which was got from two-way table survey responses:


Environmental clubs


NoYestotal
Never used445212657
Snowmobile49777574
Snowmobile owner27916295
Total12213051526
02

Concept

The distribution of a category variable is displayed using pie charts and bar graphs. Any set of quantities measured in the same units can be compared using bar graphs. It's a good idea to ask yourself, "What do I see?" when looking at any graph.

03

Explanation

The following is a conditional distribution of now mobile use by winter visitors to Yellowstone National Park to members of the environment club:

Conditional distribution of snow mobile use of environmental club members


Snow mobile useMember of environmental clubPercentage
Never used212212305×100
69.5
Snowmobile
7777350×100
25.3
Snowmobile owner
1616305×100
5.2
Total
305
100

The conditional distribution of snowmobile use by winter visitors to Yellowstone National Park among non-members of environmental clubs is shown below.

Conditional distribution of snow mobile use of environmental club Non- members



Snow mobile use
Member of environmental club
Percentage

Never used4454451221×100
36.4
Snowmobile
4974971221×100
40.7
Snowmobile owner
2792791221×100
22.9
Total
1221
100

The following is a conditional distribution comparison table:


Conditional distribution of snow mobile use of environmental club member and Non- members




Snow mobile useenvironmental club member
Non- members of environmental club
Percentage

Never used
212305×100
69.5%4451221×100
36.4%
Snowmobile
77305×100
25.3%4971221×100
40.7%
Snowmobile owner
16305×100
5.2%2791221×100
22.9%
Total

100%
100%

Step III-Achieve: We'll create a side-by-side bar graph to compare the perspectives of environmental club members and non-members:

Step IV-CONCLUDE: As a result, about 70%of environment club members have never used a snowmobile (69.5percent vs 36.4%), and only about5%of environment club members possess a snowmobile (5.2percent vs 22.9percent ). Snowmobile rentals make up roughly 41%of non-members of the Environment Club (25.3percent vs 40.7percent ).

As a result, over70%of environment club members have never used a snowmobile, whereas only about 5%of environment club members possess a snowmobile. Snowmobile rentals make up roughly 41%of non-members of the Environment Club.

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